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Finding the Fourth Proportional to 8,410.86, 12,591.68 and 6,643.53

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Solution

The fourth proportional to 8,410.86, 12,591.68 and 6,643.53 is: 9,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.86 : 12,591.68 = 6,643.53 : x
  2. Step 2: Convert to fraction form
    8,410.86/12,591.68 = 6,643.53/x
  3. Step 3: Cross multiply
    8,410.86x = 12,591.68 × 6,643.53
  4. Step 4: Simplify right side
    8,410.86x = 83,653,170.61
  5. Step 5: Solve for x
    x = 83,653,170.61/8,410.86
  6. Step 6: Final answer
    x = 9,945.85

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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.