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Finding the Fourth Proportional to 20,651.97, 30,974.16 and 9,404.65

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Solution

The fourth proportional to 20,651.97, 30,974.16 and 9,404.65 is: 14,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.97 : 30,974.16 = 9,404.65 : x
  2. Step 2: Convert to fraction form
    20,651.97/30,974.16 = 9,404.65/x
  3. Step 3: Cross multiply
    20,651.97x = 30,974.16 × 9,404.65
  4. Step 4: Simplify right side
    20,651.97x = 291,300,978.97
  5. Step 5: Solve for x
    x = 291,300,978.97/20,651.97
  6. Step 6: Final answer
    x = 14,105.24

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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.