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Finding the Fourth Proportional to 8,387.64, 12,581.89 and 2,147.70

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Solution

The fourth proportional to 8,387.64, 12,581.89 and 2,147.70 is: 3,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.64 : 12,581.89 = 2,147.70 : x
  2. Step 2: Convert to fraction form
    8,387.64/12,581.89 = 2,147.70/x
  3. Step 3: Cross multiply
    8,387.64x = 12,581.89 × 2,147.70
  4. Step 4: Simplify right side
    8,387.64x = 27,022,125.15
  5. Step 5: Solve for x
    x = 27,022,125.15/8,387.64
  6. Step 6: Final answer
    x = 3,221.66

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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.