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Finding the Fourth Proportional to 8,144.64, 12,207.56 and 3,752.87

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Solution

The fourth proportional to 8,144.64, 12,207.56 and 3,752.87 is: 5,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.64 : 12,207.56 = 3,752.87 : x
  2. Step 2: Convert to fraction form
    8,144.64/12,207.56 = 3,752.87/x
  3. Step 3: Cross multiply
    8,144.64x = 12,207.56 × 3,752.87
  4. Step 4: Simplify right side
    8,144.64x = 45,813,305.90
  5. Step 5: Solve for x
    x = 45,813,305.90/8,144.64
  6. Step 6: Final answer
    x = 5,624.96

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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.