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Finding the Fourth Proportional to 20,932, 31,398 and 7,769.12

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Solution

The fourth proportional to 20,932, 31,398 and 7,769.12 is: 11,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,932 : 31,398 = 7,769.12 : x
  2. Step 2: Convert to fraction form
    20,932/31,398 = 7,769.12/x
  3. Step 3: Cross multiply
    20,932x = 31,398 × 7,769.12
  4. Step 4: Simplify right side
    20,932x = 243,934,829.76
  5. Step 5: Solve for x
    x = 243,934,829.76/20,932
  6. Step 6: Final answer
    x = 11,653.68

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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.