Find the missing numbers in the proportion table given below. Proportion Product of extremes Product of means 1 : 2 : : 4 : 8

We know that, in a proportion of a : b : : c : d , a , d are the extremes. b , c are the means. In the given proportion 1 : 2 : : 4 : 8 a = 1 , b = 2 , c = 4 , d = 8 Product of extremes = a × d = 1 × 8 = 8 Product of means = b × c = 2 × 4 = 8 Hence, the required table given below. Proportion Product of extremes Product of means 1 : 2 : : 4 : 8 8 8

Find the missing numbers in the proportion table given below. Proportion Product of extremes Product of means 5 : 6 : : 75 : 90

We know that, in a proportion of a : b : : c : d , a , d are the extremes. b , c are the means. In the given proportion 5 : 6 : : 75 : 90 a = 5 , b = 6 , c = 75 , d = 90 Product of extremes = a × d = 5 × 90 = 450 Product of means = b × c = 6 × 75 = 450 Hence, the required table given below. Proportion Product of extremes Product of means 5 : 6 : : 75 : 90 450 450

Find the missing numbers in the proportion table given below. Proportion Product of extremes Product of means 3 : 4 : : 24 : 32

We know that, in a proportion of a : b : : c : d , a , d are the extremes. b , c are the means. In the given proportion 3 : 4 : : 24 : 32 a = 3 , b = 4 , c = 24 , d = 32 Product of extremes = a × d = 3 × 32 = 96 Product of means = b × c = 4 × 24 = 96 Hence, the required table given below. Proportion Product of extremes Product of means 3 : 4 : : 24 : 32 96 96

Find the missing numbers in the proportion table given below. Proportion Product of extremes Product of means 2 : 5 : : _ _ _ : 15 30

We know that, in a proportion of a : b : : c : d , a , d are the extremes. b , c are the means. In the given proportion let us take 2 : 5 : : x : 15 a = 2 , b = 5 , c = x , d = 15 Product of extremes = a × d = 2 × 15 = 30 In the proportion Product of extremes = Product of means Product of means = b × c = 5 × x = 30 5 x = 30 ⇒ x = 30 5 = 6 Hence, the required table given below. Proportion Product of extremes Product of means 2 : 5 : : 6 : 15 30 30

Find the missing numbers in the proportion table given below. Proportion Product of extremes Product of means 3 : 6 : : 12 : _____ 72

We know that, in a proportion of a : b : : c : d , a , d are the extremes. b , c are the means. In the given proportion let us take 3 : 6 : : 12 : x a = 3 , b = 6 , c = 12 , d = x Product of means = b × c = 6 × 12 = 72 In the proportion Product of extremes = Product of means Product of extremes = a × d = 3 × x = 3 x = 72 3 x = 72 ⇒ x = 72 3 = 24 Hence, the required table given below. Proportion Product of extremes Product of means 3 : 6 : : 12 : 24 72 72