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Finding the Fourth Proportional to 8,617.87, 12,933.24 and 6,401.82

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Solution

The fourth proportional to 8,617.87, 12,933.24 and 6,401.82 is: 9,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.87 : 12,933.24 = 6,401.82 : x
  2. Step 2: Convert to fraction form
    8,617.87/12,933.24 = 6,401.82/x
  3. Step 3: Cross multiply
    8,617.87x = 12,933.24 × 6,401.82
  4. Step 4: Simplify right side
    8,617.87x = 82,796,242.49
  5. Step 5: Solve for x
    x = 82,796,242.49/8,617.87
  6. Step 6: Final answer
    x = 9,607.51

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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.