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Finding the Fourth Proportional to 9,166.38, 13,755 and 3,620.28

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Solution

The fourth proportional to 9,166.38, 13,755 and 3,620.28 is: 5,432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.38 : 13,755 = 3,620.28 : x
  2. Step 2: Convert to fraction form
    9,166.38/13,755 = 3,620.28/x
  3. Step 3: Cross multiply
    9,166.38x = 13,755 × 3,620.28
  4. Step 4: Simplify right side
    9,166.38x = 49,796,951.40
  5. Step 5: Solve for x
    x = 49,796,951.40/9,166.38
  6. Step 6: Final answer
    x = 5,432.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.