Question

Verifique se os numeros 15,20 e 30 sao diretamente proporcionais aos numeros 24,32 e 48

Answer 1

We are given to check

whether these numbers are proportional

we know that any set of numbers are proportional when their ratios are equal

so, firstly we will ratios

First set of numbers:

We are given first set of numbers as 15 , 20 and 30

so, it's ratio is

$15:20:30$

now, we can simplify it

$5\times 3:5\times 4:5\times 6$

Since, common factor is 5

so, we can cancel 5

and we get

$3:4:6$

Second set of numbers:

We are given first set of numbers as 24 , 32 and 48

so, it's ratio is

$24:32:48$

now, we can simplify it

$8\times 3:8\times 4:8\times 6$

Since, common factor is 8

so, we can cancel 8

and we get

$3:4:6$

We can see that both sets of numbers are having same ratios

so, they are proportional.........Answer