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Finding the Fourth Proportional to 20,725, 31,103.88 and 9,046.42

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Solution

The fourth proportional to 20,725, 31,103.88 and 9,046.42 is: 13,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,725 : 31,103.88 = 9,046.42 : x
  2. Step 2: Convert to fraction form
    20,725/31,103.88 = 9,046.42/x
  3. Step 3: Cross multiply
    20,725x = 31,103.88 × 9,046.42
  4. Step 4: Simplify right side
    20,725x = 281,378,762.11
  5. Step 5: Solve for x
    x = 281,378,762.11/20,725
  6. Step 6: Final answer
    x = 13,576.78

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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.