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Finding the Fourth Proportional to 8,500.80, 12,732.68 and 4,109

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Solution

The fourth proportional to 8,500.80, 12,732.68 and 4,109 is: 6,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.80 : 12,732.68 = 4,109 : x
  2. Step 2: Convert to fraction form
    8,500.80/12,732.68 = 4,109/x
  3. Step 3: Cross multiply
    8,500.80x = 12,732.68 × 4,109
  4. Step 4: Simplify right side
    8,500.80x = 52,318,582.12
  5. Step 5: Solve for x
    x = 52,318,582.12/8,500.80
  6. Step 6: Final answer
    x = 6,154.55

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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.