Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{4}{u}=\frac{28}{35}$

Short answer

The value of $u=5$.

Step-by-step solution

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$\begin{array}{c}\frac{4}{u}=\frac{28}{35}\\ 4\left(35\right)=\left(28\right)u\end{array}$

Step-3. Simplify for u.

To further simplify, divide each side by 28.

$\begin{array}{c}4\left(35\right)=\left(28\right)u\\ 140=28u\\ \frac{140}{28}=\frac{28u}{28}\\ 5=u\end{array}$

Therefore, the value of $u=5$.