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Finding the Fourth Proportional to 8,101.87, 12,155.87 and 3,174.91

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Solution

The fourth proportional to 8,101.87, 12,155.87 and 3,174.91 is: 4,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.87 : 12,155.87 = 3,174.91 : x
  2. Step 2: Convert to fraction form
    8,101.87/12,155.87 = 3,174.91/x
  3. Step 3: Cross multiply
    8,101.87x = 12,155.87 × 3,174.91
  4. Step 4: Simplify right side
    8,101.87x = 38,593,770.77
  5. Step 5: Solve for x
    x = 38,593,770.77/8,101.87
  6. Step 6: Final answer
    x = 4,763.56

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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.