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Finding the Fourth Proportional to 12,755, 17,603.52 and 7,166

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Solution

The fourth proportional to 12,755, 17,603.52 and 7,166 is: 9,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755 : 17,603.52 = 7,166 : x
  2. Step 2: Convert to fraction form
    12,755/17,603.52 = 7,166/x
  3. Step 3: Cross multiply
    12,755x = 17,603.52 × 7,166
  4. Step 4: Simplify right side
    12,755x = 126,146,824.32
  5. Step 5: Solve for x
    x = 126,146,824.32/12,755
  6. Step 6: Final answer
    x = 9,889.99

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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.