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Finding the Fourth Proportional to 8,003.87, 11,996.08 and 5,664.56

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Solution

The fourth proportional to 8,003.87, 11,996.08 and 5,664.56 is: 8,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.87 : 11,996.08 = 5,664.56 : x
  2. Step 2: Convert to fraction form
    8,003.87/11,996.08 = 5,664.56/x
  3. Step 3: Cross multiply
    8,003.87x = 11,996.08 × 5,664.56
  4. Step 4: Simplify right side
    8,003.87x = 67,952,440.78
  5. Step 5: Solve for x
    x = 67,952,440.78/8,003.87
  6. Step 6: Final answer
    x = 8,489.95

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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.