Verify whether the following numbers are in proportion:
(a) 18, 8, 12,6
(b) 72, 60, 24, 20
(c) 1, 5, 15,75
1. In each of the following proportions find the missing term.
(a) 22:33:x:15
(b)x:42 :: 76:57
(c) 320:x :: 80 : 70
2. Find the fourth proportional of 32, 64 and 29.
3. Find the mean proportional between 9 and 49.
4. Find the third proportional to 32 and 16.
Answers
Step-by-step explanation:
(a). 18:8::12:6
= product of extreme = product of means
= 18 × 6 = 12 × 8
= 108 = 108 ( it is in proportion)
(b). 72:60::24:20
= product of extreme = product of means
= 72 × 20 = 60 × 24
= 1440 = 1280 ( not in proportion )
(c). 1:5::15:75
= product of extreme = product of means
= 75 × 1 = 15 × 5
= 75 = 75 ( it is in proportion )
1.a) product of extreme = product of means
= 22 × 15 = 33 × x
= 330 = 3x
= x = 330
3
= x = 110
1.b.) product of extreme = product of means
= x × 57 = 42 × 76
= 57x = 3193
= x = 3192
57
= x = 56
1.c) product of extreme = product of means
= 320 × 70 = x × 80
= 22400 = 80x
= x = 22400
80
= x = 280
2. let the fourth no. be x
32 × 64 = x × 29
32 × 29 = 64x
x = 928
64
= 14
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Step-by-step explanation:
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