What is the common multiplier in the proportion below?
x/12 = 24/36

a. 2
b. 3
c. 4
d. 6

b. 3

Step-by-step explanation:

To find the common multiplier, we need to know what number x represent.

x/12 = 24/36

cross multiply

36x = 288

Divide bothside by 36

36x/36 = 288/36

x=8

so, it is ;

8/12 = 24/36

we simply find a number that we will multiply by 8 to give us 24 or multiply by 12 to give us 36.

we can get that number by;

24÷8 = 3

or 36÷12 =3

so 3 is the common multiplier

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2