Find the number that makes the ratio equivalent to 4:15.
24:

To find the number that makes the ratio \( 24 : x \) equivalent to \( 4 : 15 \), you set up a proportion:

\[
\frac{24}{x} = \frac{4}{15}
\]

Now, solve for \( x \) by cross-multiplying:

\[
24 \times 15 = 4 \times x
\]

\[
360 = 4x
\]

Divide both sides by 4:

\[
x = \frac{360}{4} = 90
\]

So, the number that makes the ratio equivalent is **90**.

Would you like more details or have any questions? Here are some related questions to consider:

1. How would you solve if the ratio was given as \( 7:21 \)?
2. What happens if the ratios are given in decimals or fractions?
3. Can you apply this method to find a missing number in the ratio \( 8:x = 2:5 \)?
4. What if the problem provided the number to be found at the first position of the ratio?
5. How do you verify if two ratios are truly equivalent?

**Tip:** When dealing with ratios, cross-multiplication is a reliable method to find a missing term.

Discover how to find the number that makes the ratio 24:x equivalent to 4:15 with a detailed step-by-step solution. This problem involves ratio and proportion concepts, including setting up and solving proportions. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation