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Finding the Fourth Proportional to 20,957.76, 31,422.72 and 8,299.11

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Solution

The fourth proportional to 20,957.76, 31,422.72 and 8,299.11 is: 12,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.76 : 31,422.72 = 8,299.11 : x
  2. Step 2: Convert to fraction form
    20,957.76/31,422.72 = 8,299.11/x
  3. Step 3: Cross multiply
    20,957.76x = 31,422.72 × 8,299.11
  4. Step 4: Simplify right side
    20,957.76x = 260,780,609.78
  5. Step 5: Solve for x
    x = 260,780,609.78/20,957.76
  6. Step 6: Final answer
    x = 12,443.15

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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.