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Finding the Fourth Proportional to 12,540.50, 17,305.98 and 6,951.50

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Solution

The fourth proportional to 12,540.50, 17,305.98 and 6,951.50 is: 9,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,540.50 : 17,305.98 = 6,951.50 : x
  2. Step 2: Convert to fraction form
    12,540.50/17,305.98 = 6,951.50/x
  3. Step 3: Cross multiply
    12,540.50x = 17,305.98 × 6,951.50
  4. Step 4: Simplify right side
    12,540.50x = 120,302,519.97
  5. Step 5: Solve for x
    x = 120,302,519.97/12,540.50
  6. Step 6: Final answer
    x = 9,593.12

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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.