Proportion Calculator

Solve a missing value in a proportion or check whether two ratios are proportional using cross multiplication.

=

Formula: A ÷ B = C ÷ D. Leave exactly one field blank to solve the missing value, or fill all four fields to check the proportion.

Use this Proportion Calculator to solve a missing value in a proportion or check whether two ratios are equal.

Calculation Method

A proportion has the form:

A ÷ B = C ÷ D

For a valid proportion, the cross products are equal:

A × D = B × C

Cross multiplication can therefore be used to solve whichever value is missing.

Example

Solve:

6/9 = x/15

Cross multiply:

6 × 15 = 9x

90 = 9x

x = 10

Therefore, 6/9 = 10/15.

Important Note

The denominator values cannot be zero because division by zero is undefined.

Source

More of our calculators...

Average Percentage Calculator

Average percentage calculator to find simple or weighted averages of multiple percentages with quick, accurate results.

Circumference Calculator

Use our Circumference Calculator to find circle radius, diameter, circumference, and area from any one known value with unit conversions.

Exponent Calculator

Exponent Calculator helps you solve powers, positive and negative exponents, and exponential values quickly with clear, accurate results.

Fraction to Decimal Calculator

Use this Fraction to Decimal Calculator to convert proper, improper, and mixed fractions into decimal values, percentages, simplified fractions, and steps.

Slope Calculator

Use our Slope Calculator to find slope, angle, percent grade, line equation, y-intercept, rise/run, and distance using two points or other methods.

Square Root Calculator

Use our Square Root Calculator to find the principal square root of a number or reverse-calculate x from a square root value.

Area Calculator

Use this Area Calculator to calculate rectangle, square, triangle, circle, trapezoid, parallelogram, and ellipse area with unit conversion.

Fraction to Percentage Calculator

Convert fractions to percentages and percentages to simplified fractions. Enter numerator, denominator, or percent to get quick live results.

Significant Figures Calculator

Use our Significant Figures Calculator to count sig figs, round numbers or expressions, and show decimal, scientific, and E notation.