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Finding the Fourth Proportional to 12,882, 19,318.08 and 5,489.92

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Solution

The fourth proportional to 12,882, 19,318.08 and 5,489.92 is: 8,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882 : 19,318.08 = 5,489.92 : x
  2. Step 2: Convert to fraction form
    12,882/19,318.08 = 5,489.92/x
  3. Step 3: Cross multiply
    12,882x = 19,318.08 × 5,489.92
  4. Step 4: Simplify right side
    12,882x = 106,054,713.75
  5. Step 5: Solve for x
    x = 106,054,713.75/12,882
  6. Step 6: Final answer
    x = 8,232.78

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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.