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Finding the Fourth Proportional to 17,167, 23,691.18 and 9,715

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Solution

The fourth proportional to 17,167, 23,691.18 and 9,715 is: 13,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,167 : 23,691.18 = 9,715 : x
  2. Step 2: Convert to fraction form
    17,167/23,691.18 = 9,715/x
  3. Step 3: Cross multiply
    17,167x = 23,691.18 × 9,715
  4. Step 4: Simplify right side
    17,167x = 230,159,813.70
  5. Step 5: Solve for x
    x = 230,159,813.70/17,167
  6. Step 6: Final answer
    x = 13,407.11

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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.