» Proportion Calculator


Proportion Calculator: solve direct and inverse proportion problems with cross multiplication, use the rule of three, and find the missing value in a ratio equation.

This proportion calculator solves direct proportion equations of the form a / b = c / d and inverse proportion equations of the form a x b = c x d. Enter any three known values and the calculator will find the missing fourth value.

It is useful for rule-of-three problems, scaling quantities, unit-price comparisons, recipe adjustments, work-time problems, speed-time tradeoffs, and other cases where values change in direct or inverse proportion.

Direct Proportion Formula

$$\frac {a}{b} = \frac {c}{d}\Rightarrow d=\frac {b \times c}{a}$$

Initial Data


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Proportion Calculator FAQ

What does this proportion calculator do?
It solves both direct proportion and inverse proportion problems. When you enter any three known values, the calculator finds the missing fourth value.

What is the rule of three?
The rule of three is a basic method for solving proportional relationships. In direct proportion, the ratios stay equal. In inverse proportion, the product of the paired values stays constant.

How do you solve a direct proportion by cross multiplication?
Start from a / b = c / d. Cross multiplication gives a × d = b × c. From there, solve for the unknown variable, for example d = (b × c) / a.

How does inverse proportion work?
Inverse proportion uses a × b = c × d. This is useful when one value increases while the other decreases, such as workers and time, speed and travel time, or price per unit and quantity at a fixed total.

What kinds of problems can I solve with this calculator?
You can use it for scaling recipes, price-per-unit comparisons, map scale problems, quantity planning, work-time problems, speed-time tradeoffs, and other direct or inverse ratio problems.


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