Question

C. Complete the proportion by finding the missing term

1. 5/12 = ?/24
2. 8/9 = 40/?
3. 7/? = 28/36
4. 36:45 = ?:15
5. ?:9 = 21:27​

Answer 1

Step-by-step explanation:

• 5/12 = ?/24 ⇒ ? = 24*5/12 ⇒ ? = 10
• 8/9 = 40/? ⇒ ? = 40*9/8 ⇒ ? = 45
• 7/? = 28/36 ⇒ ? = 7*36/28 ⇒ ? = 9
• 36:45 = ?:15 ⇒ ? = 36*15/45 ⇒ ? = 12
• ?:9 = 21:27​ ⇒ ? = 9*21/27 ⇒ ? = 7

Answer 2

Let's keep the missing terms as x,

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1) 5/12 = x/24

→ x = (24 × 5)/12

→ x = 120/12

→ [ x = 10 ]

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2) 8/9 = 40/x

→ x = (40 × 9)/8

→ x = 360/8

→ [ x = 45 ]

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3) 7/x = 28/36

→ x = (7 × 36)/28

→ x = 252/28

→ [ x = 9 ]

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4) 36:45 = x:15

→ x = (36 × 15)/45

→ x = 540/45

→ [ x = 12 ]

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5) x:9 = 21:27

→ x = (21 × 9)/27

→ x = 189/27

→ [ x = 7 ]

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Thus, these are the missing terms.