Calculate first-gear and axle multiplication, compare a tire-adjusted ratio, or solve for the gear ratio needed to meet an adjusted target.
Starting-Line Ratio Formula
Raw ratio = first gear × rear axle; tire-adjusted ratio = raw ratio × baseline diameter ÷ compared diameter
Raw Ratio and Tire Adjustment
Starting-line ratio commonly describes the numerical multiplication of transmission first gear and the rear-axle ratio. First gear of 2.52:1 and an axle ratio of 4.10:1 give a raw ratio of 10.332:1. This page also reports a tire-adjusted comparison relative to a baseline tire diameter. Equal diameters leave the raw ratio unchanged. The primary Solve for ratio result is explicitly the adjusted value, while the supporting result preserves the raw multiplication.
Worked Tire Comparison
Using a 28-inch baseline and a 30-inch compared tire gives a diameter factor of 28 ÷ 30 = 0.933333. Multiplying 10.332 by this factor gives a tire-adjusted ratio of 9.6432:1. The numerical comparison is 6.667% lower than the raw value. This does not physically change the transmission or axle gears. It expresses the effect of the diameter change relative to the chosen baseline.
Solve for Axle or First Gear
For a specified adjusted target, axle ratio equals target ÷ (first gear × diameter factor). First-gear ratio equals target ÷ (axle ratio × diameter factor). For the example, 9.6432 ÷ (2.52 × 28/30) returns 4.10:1 for the axle. Keep the same baseline when comparing different combinations. An available commercial ratio may differ from the exact computed target.
Interpret Diameter Correctly
Each tire input has an independent inches, millimeters, or centimeters selector. One inch equals 25.4 millimeters or 2.54 centimeters. Both diameters are converted before forming the ratio, so mixed units are acceptable. Use diameters measured under comparable conditions. Nominal sidewall specifications, unloaded measurements, and loaded rolling behavior can differ. The simple diameter ratio assumes circumference changes proportionally with diameter.
What the Result Can Tell You
A higher numerical gear multiplication means more engine turns for a wheel turn in first gear. The tire-adjusted index offers a consistent comparison when tire size changes. It does not determine launch acceleration, traction, elapsed time, engine operating range, or component loading. Torque-converter behavior, clutch slip, driveline efficiency, vehicle mass, and the engine torque curve are outside this calculation. There is no universally correct starting-line ratio for every vehicle. Use the output as a defined numerical comparison and review actual component specifications for any proposed combination.
Reference Table
| Compared diameter | Diameter factor | Raw ratio | Adjusted ratio |
|---|---|---|---|
| 26 in | 1.076923 | 10.332:1 | 11.126769:1 |
| 28 in | 1.000000 | 10.332:1 | 10.332000:1 |
| 30 in | 0.933333 | 10.332:1 | 9.643200:1 |
| 32 in | 0.875000 | 10.332:1 | 9.040500:1 |
