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Finding the Fourth Proportional to 20,177, 30,267.12 and 6,326

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Solution

The fourth proportional to 20,177, 30,267.12 and 6,326 is: 9,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177 : 30,267.12 = 6,326 : x
  2. Step 2: Convert to fraction form
    20,177/30,267.12 = 6,326/x
  3. Step 3: Cross multiply
    20,177x = 30,267.12 × 6,326
  4. Step 4: Simplify right side
    20,177x = 191,469,801.12
  5. Step 5: Solve for x
    x = 191,469,801.12/20,177
  6. Step 6: Final answer
    x = 9,489.51

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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.