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Finding the Fourth Proportional to 9,642.16, 14,449.20 and 4,706.20

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Solution

The fourth proportional to 9,642.16, 14,449.20 and 4,706.20 is: 7,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.16 : 14,449.20 = 4,706.20 : x
  2. Step 2: Convert to fraction form
    9,642.16/14,449.20 = 4,706.20/x
  3. Step 3: Cross multiply
    9,642.16x = 14,449.20 × 4,706.20
  4. Step 4: Simplify right side
    9,642.16x = 68,000,825.04
  5. Step 5: Solve for x
    x = 68,000,825.04/9,642.16
  6. Step 6: Final answer
    x = 7,052.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.