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Finding the Fourth Proportional to 17,132, 23,642.20 and 9,680

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Solution

The fourth proportional to 17,132, 23,642.20 and 9,680 is: 13,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,132 : 23,642.20 = 9,680 : x
  2. Step 2: Convert to fraction form
    17,132/23,642.20 = 9,680/x
  3. Step 3: Cross multiply
    17,132x = 23,642.20 × 9,680
  4. Step 4: Simplify right side
    17,132x = 228,856,496
  5. Step 5: Solve for x
    x = 228,856,496/17,132
  6. Step 6: Final answer
    x = 13,358.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.