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Finding the Fourth Proportional to 20,531.20, 30,806.52 and 11,773.52

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Solution

The fourth proportional to 20,531.20, 30,806.52 and 11,773.52 is: 17,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,531.20 : 30,806.52 = 11,773.52 : x
  2. Step 2: Convert to fraction form
    20,531.20/30,806.52 = 11,773.52/x
  3. Step 3: Cross multiply
    20,531.20x = 30,806.52 × 11,773.52
  4. Step 4: Simplify right side
    20,531.20x = 362,701,179.35
  5. Step 5: Solve for x
    x = 362,701,179.35/20,531.20
  6. Step 6: Final answer
    x = 17,665.85

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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.