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Finding the Fourth Proportional to 20,654.78, 30,960.86 and 8,169.75

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Solution

The fourth proportional to 20,654.78, 30,960.86 and 8,169.75 is: 12,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654.78 : 30,960.86 = 8,169.75 : x
  2. Step 2: Convert to fraction form
    20,654.78/30,960.86 = 8,169.75/x
  3. Step 3: Cross multiply
    20,654.78x = 30,960.86 × 8,169.75
  4. Step 4: Simplify right side
    20,654.78x = 252,942,445.14
  5. Step 5: Solve for x
    x = 252,942,445.14/20,654.78
  6. Step 6: Final answer
    x = 12,246.20

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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.