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Finding the Fourth Proportional to 16,992, 23,451.12 and 9,540

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Solution

The fourth proportional to 16,992, 23,451.12 and 9,540 is: 13,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,992 : 23,451.12 = 9,540 : x
  2. Step 2: Convert to fraction form
    16,992/23,451.12 = 9,540/x
  3. Step 3: Cross multiply
    16,992x = 23,451.12 × 9,540
  4. Step 4: Simplify right side
    16,992x = 223,723,684.80
  5. Step 5: Solve for x
    x = 223,723,684.80/16,992
  6. Step 6: Final answer
    x = 13,166.41

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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.