Question

solve the proportion do not include the variable
$\frac{3}{ \times + 4} = \frac{4}{2 \times + 2}$
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Answer 1

Let us use cross multiplication to find out the value of x :-

$\frac{3}{x + 4 } = \frac{4}{2x + 2}$

$x + 4 \times 4 = 2 x + 2 \times 3$

$4x + 16= 6x + 6$

$6x = 4x + 16 - 6$

$6x = 4x + 10$

$4x - 10 = 6x$

$10 = 6x - 4x$

$10 = 2x$

$x = \frac{10}{2}$

$x = 5$

Using this let us find the two proportional fractions .

$= \frac{3}{x + 4}$

$= \frac{3}{5 + 4}$

$= \frac{3}{9}$

$= \frac{4}{2x + 2}$

$= \frac{4}{10 + 2}$

$= \frac{4}{12}$

∴the proportional fractions are =

3/4 :: 9/12