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Finding the Fourth Proportional to 20,531.80, 30,785.92 and 8,037.20

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Solution

The fourth proportional to 20,531.80, 30,785.92 and 8,037.20 is: 12,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,531.80 : 30,785.92 = 8,037.20 : x
  2. Step 2: Convert to fraction form
    20,531.80/30,785.92 = 8,037.20/x
  3. Step 3: Cross multiply
    20,531.80x = 30,785.92 × 8,037.20
  4. Step 4: Simplify right side
    20,531.80x = 247,432,596.22
  5. Step 5: Solve for x
    x = 247,432,596.22/20,531.80
  6. Step 6: Final answer
    x = 12,051.19

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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.