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Finding the Fourth Proportional to 9,839.60, 14,737.80 and 5,217.20

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Solution

The fourth proportional to 9,839.60, 14,737.80 and 5,217.20 is: 7,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.60 : 14,737.80 = 5,217.20 : x
  2. Step 2: Convert to fraction form
    9,839.60/14,737.80 = 5,217.20/x
  3. Step 3: Cross multiply
    9,839.60x = 14,737.80 × 5,217.20
  4. Step 4: Simplify right side
    9,839.60x = 76,890,050.16
  5. Step 5: Solve for x
    x = 76,890,050.16/9,839.60
  6. Step 6: Final answer
    x = 7,814.35

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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.