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Finding the Fourth Proportional to 20,976, 31,464 and 7,125.12

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Solution

The fourth proportional to 20,976, 31,464 and 7,125.12 is: 10,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,976 : 31,464 = 7,125.12 : x
  2. Step 2: Convert to fraction form
    20,976/31,464 = 7,125.12/x
  3. Step 3: Cross multiply
    20,976x = 31,464 × 7,125.12
  4. Step 4: Simplify right side
    20,976x = 224,184,775.68
  5. Step 5: Solve for x
    x = 224,184,775.68/20,976
  6. Step 6: Final answer
    x = 10,687.68

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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.