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Finding the Fourth Proportional to 8,414, 12,624.58 and 3,487.22

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Solution

The fourth proportional to 8,414, 12,624.58 and 3,487.22 is: 5,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414 : 12,624.58 = 3,487.22 : x
  2. Step 2: Convert to fraction form
    8,414/12,624.58 = 3,487.22/x
  3. Step 3: Cross multiply
    8,414x = 12,624.58 × 3,487.22
  4. Step 4: Simplify right side
    8,414x = 44,024,687.87
  5. Step 5: Solve for x
    x = 44,024,687.87/8,414
  6. Step 6: Final answer
    x = 5,232.31

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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.