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Finding the Fourth Proportional to 20,630.76, 30,951.35 and 5,839.80

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Solution

The fourth proportional to 20,630.76, 30,951.35 and 5,839.80 is: 8,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,630.76 : 30,951.35 = 5,839.80 : x
  2. Step 2: Convert to fraction form
    20,630.76/30,951.35 = 5,839.80/x
  3. Step 3: Cross multiply
    20,630.76x = 30,951.35 × 5,839.80
  4. Step 4: Simplify right side
    20,630.76x = 180,749,753.91
  5. Step 5: Solve for x
    x = 180,749,753.91/20,630.76
  6. Step 6: Final answer
    x = 8,761.18

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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.