Question

Solve the proportion.

$\frac{30}{48}=\frac{10}{h}$

Short answer

The value of $h$in the given proportion is 16.

Step-by-step solution

Step 1. Given Information.

The proportion is $\frac{30}{48}=\frac{10}{h}$.

Step 2. Formula used.

Cross-product property:

If $\frac{a}{b}=\frac{c}{d}$, where $b\ne 0$and $d\ne 0$, then $ad=bc$.

Step 3. Calculation.

Consider the proportion given:

$\frac{30}{48}=\frac{10}{h}$

Use cross product property.

$\begin{array}{c}30\cdot h=48\cdot 10\\ 30h=480\text{[multiply]}\\ \frac{30h}{30}=\frac{480}{30}\text{[divideeachsideby30]}\\ h=16\text{[simplify]}\end{array}$

Hence,

$\frac{30}{48}=\frac{10}{16}$

Step 4. Conclusion.

The value of $h$ in the given proportion is 16.