Question

Solve the proportion. a. 4/x = 9 b. 7.5/26 = 75/p

Answer 1

ANSWER:

The values of x and p after solving given equations are 0.445 or $\frac{4}{9}$ and 260 respectively..

SOLUTION:

Given, two proportions are $\frac{4}{x}$ =9 and $\frac{7.5}{26} = \frac{75}{p}$

We need to solve the given two proportions.

Let us solve the first proportion, $\frac{4}{x}$ = 9

$\frac{4}{x} = \frac{9}{1}$

On cross-multiplication, we get

4 $\times$ 1 = 9x

4 = 9x

x = $\frac{4}{9}$

x = 0.445

Now, let us solve the second proportion  $\frac{7.5}{26} = \frac{75}{p}$

$\frac{\frac{75}{10}}{26}=\frac{75}{p}$

$\frac{75}{10 \times 26} = \frac{75}{p}$

$\frac{1}{260} = \frac{1}{p}$

On cross-multiplication, we get

p = 260

Hence, the values of x and p after solving given equations are 0.445 and 260 respectively.