Question

Find the following are in proportion or not .

(a) 8, 16, 6, 12

(b) 6, 2, 4, 3​

Answer 1

(a). are in proportion.

multiply of exterior= 8×12=96

multiply of interior = 16×6=96

(b). are in not proportion.

multiply of exterior=6×3=18

multiply of interior =2×4=8

Answer 2

☯GIVEN :

(a) 8, 16, 6, 12

(b) 6, 2, 4, 3

☯TO FIND :

• The following are in proportion or not.

☯KNOWLEDGE REQUIRED :

$\boxed { \red{\sf{Product \: of \: extremes= Product \: of \: means }}}$

➲SOLUTION :

• (a) 8, 16, 6, 12

✞We have :

$\implies{\sf{Product \: of \: extremes= 8 \times 12 = 96 }}$

$\implies{\sf{Product \: of \: means = 16 \times 6 = 96}}$

$\huge{ \green{ \therefore}}$ Product of extremes = Product of means.

Hence, 8, 16, 6, 12 are in proportion.

• (b) 6, 2, 4, 3

✞We have :

$\implies{\sf{Product \: of \: extremes= 6 \times 3= 18 }}$

$\implies{\sf{Product \: of \: means = 2 \times 4= 8}}$

$\huge{ \green{ \therefore}}$ Product of extremes $\bf{\ne}$ Product of means.

Hence, 6, 2, 4, 3 are not in proportion.