Solve the following proportion for y: 7/13 = 4/y. Round your answer to the nearest tenth.

Understand the Problem

The problem is asking to solve the proportion for y. We can cross multiply to solve for y, and after that we can round our answer to the nearest tenth.

Answer

$y = 7.4$

Steps to Solve

Cross multiply the proportion Cross multiply the terms in the proportion $\frac{7}{13} = \frac{4}{y}$

$$7 \cdot y = 4 \cdot 13$$

Simplify the equation Multiply the numbers on the right side of the equation, simplifying it.

$$7y = 52$$

Isolate y Divide both sides of the equation by 7 to solve for $y$.

$$y = \frac{52}{7}$$

Calculate the value of y Calculate the value of the fraction.

$$y \approx 7.42857$$

Round to the nearest tenth Round the answer to the nearest tenth.

$$y \approx 7.4$$

$y = 7.4$

More Information

A proportion is an equation stating that two ratios are equal.

Tips

A common mistake is to round the answer before solving for $y$. Make sure you isolate the variable $y$ first, and then round your answer to the correct decimal place.

AI-generated content may contain errors. Please verify critical information

Thank you for voting!