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

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Solution

(a) 15,45, 40, 120
Therefore, 15: 45 = 40: 120
Hence, these are in proportion.
(b) 33,121, 9, 96
Therefore, 33: 121 ≠ 9: 96
Hence, these are not in proportion.
(c) 24,28, 36, 48
Therefore, 24: 28 ≠ 36: 48
Hence, these are not in proportion.
(d) 32,48, 70, 210
Therefore, 32: 48 ≠ 70: 210
Hence, these are not in proportion.
(e) 4, 6,8, 12
Therefore, 4: 6 = 8: 12
Hence, these are in proportion.
(f) 33,44, 75, 100
Therefore, 33: 44 = 75: 100
Hence, these are in proportion.

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Question 1(f)

Determine if the following are in proportion:

33, 44, 75, 100

\frac{27}{36} = \frac{9}{12}

= k

k

60

Ages	$24 - 28$	$28 - 32$	$32 - 36$	$36 - 40$	$40 - 44$	$44 - 48$
No of teachers	$12$	$10$	$15$	$9$	$8$	$6$

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