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Finding the Fourth Proportional to 8,531.82, 12,806.01 and 5,251.32

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Solution

The fourth proportional to 8,531.82, 12,806.01 and 5,251.32 is: 7,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.82 : 12,806.01 = 5,251.32 : x
  2. Step 2: Convert to fraction form
    8,531.82/12,806.01 = 5,251.32/x
  3. Step 3: Cross multiply
    8,531.82x = 12,806.01 × 5,251.32
  4. Step 4: Simplify right side
    8,531.82x = 67,248,456.43
  5. Step 5: Solve for x
    x = 67,248,456.43/8,531.82
  6. Step 6: Final answer
    x = 7,882.08

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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.