Question

1. Determine if the following are in proportion
(a) 15, 45, 40, 120 (b) 33, 121, 9,96
(d) 32, 48, 70, 210 (e) 4, 6, 8, 12
(c) 24, 28, 36, 48
(f) 33, 44, 75, 100
with solution ​

Answer 1

Answer:

(a) 1:3::1:3

(b) no proportion

(c) 6:7::3:4

(d) No proportion

(e) 2:3::2:3

(f) 3:4::3:4.

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Answer 2

Answer:

a) 15, 45, 40, 120 are in proportion

b) 33, 121, 9,96 are not in proportion

c) 24, 28, 36, 48 are not in proportion

d) 32, 48, 70, 210 are not in proportion

e) 4, 6, 8, 12 are  in proportion

f) 33, 44, 75, 100are in proportion

Step-by-step explanation:

(a) 15, 45, 40, 120

Product of Extremes = 15 * 120 = 1800

Product of Means = 45 * 40 = 1800

Since product of Extremes = Product of Means,

15, 45, 40, 120 are in proportion

(b) 33, 121, 9,96

Product of Extremes = 33 * 96 = 3168

Product of Means = 121 * 9 = 1089

Since product of Extremes ≠ Product of Means,

33, 121, 9,96 are not in proportion

(c) 24, 28, 36, 48

Product of Extremes = 24 * 48 = 1152

Product of Means =  28 * 36 = 1008

Since product of Extremes ≠ Product of Means

24, 28, 36, 48 are not in proportion

(d) 32, 48, 70, 210

Product of Extremes = 32 * 210 = 6720

Product of Means = 48* 70 = 3360

Since product of Extremes ≠ Product of Means

32, 48, 70, 210 are not in proportion

(e) 4, 6, 8, 12

Product of Extremes = 4 * 12 = 48

Product of Means = 6 * 8 = 48

Since product of Extremes = Product of Means

4, 6, 8, 12 are  in proportion

(f) 33, 44, 75, 100

Product of Extremes = 33 * 100 = 3300

Product of Means = 44 * 75 = 3300

Since product of Extremes = Product of Means

33, 44, 75, 100are in proportion