Scientific Converters Precise unit conversions for science & engineering.

    Loading…

    Ratio and Proportion Calculator

    A proportion is solved by cross-multiplying: 3 : 4 = 15 : x gives 20.

    Calculate:
    x =

    20

    Step-by-step solution
    1. a : b = c : x means a/b = c/x, so x = b·c ÷ a
    2. x = 4 × 15 ÷ 3 = 20

    Ratio and Proportion Formula

    a : b = c : x ⇒ x = b·c ÷ a

    cross-multiplication

    Worked Example

    The proportion 3 : 4 = 15 : x:

    1. a : b = c : x means a/b = c/x, so x = b·c ÷ a
    2. x = 4 × 15 ÷ 3 = 20

    Test-day tip

    SAT ratio questions often hide unit conversions. Write units in the proportion (miles/hour = miles/hour) so they cancel correctly before cross-multiplying.

    More Problem-Solving and Data Analysis Calculators

    Frequently asked questions

    How do I split an amount in a given ratio?

    Add the parts and divide: 120 in the ratio 3 : 5 is 120 × 3/8 = 45 and 120 × 5/8 = 75.

    What is the difference between a ratio and a rate?

    A ratio compares like quantities (boys to girls); a rate compares different units (miles per hour). Both can be solved with proportions.

    Sources

    Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.

    Cite this page

    APA

    Scientific Converters. (2026, October 15). Ratio and Proportion Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/ratio-calculator/

    IEEE

    Scientific Converters, "Ratio and Proportion Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/ratio-calculator/

    Send feedback

    Found a wrong value, a missing unit or an idea? Tell us. We read every message.

    What is it about?

    We store your message, the page you were on and your email if given. See the privacy policy.