Question

Determine whether the following numbers are in proportion or not$:$

$1.2,1.6,0.9,1.2$

Answer 1

Step $1:$ To check whether the given numbers are in proportion or not

As we know that any four numbers $a,b,c$ and $d$ are saif to be in proportion if and only if

$\frac{a}{b}=\frac{c}{d}$

Step $2:$ Given four numbers are $1.2,1.6,0.9,1.2$

Find the ratio of first and second number

$=\frac{1.2}{1.6},$ remove the decimal point

$=\frac{12}{16},$divide the numerator and denominator by $4$

$=\frac{3}{4}$

Step $3:$Now find the ratio of third and fourth number

$=\frac{0.9}{1.2}$

$=\frac{9}{12},$divide the numerator and denominator by $3$

$=\frac{3}{4}$

therefore the ratio of first term to second term is equal to the ratio of third term to fourth term

$\frac{1.2}{1.6}$$=\frac{0.9}{1.2}$

Hence, the given four numbers $1.2,1.6,0.9,1.2$ are in proportion.