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Finding the Fourth Proportional to 8,934.38, 12,321.38 and 5,577.50

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Solution

The fourth proportional to 8,934.38, 12,321.38 and 5,577.50 is: 7,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.38 : 12,321.38 = 5,577.50 : x
  2. Step 2: Convert to fraction form
    8,934.38/12,321.38 = 5,577.50/x
  3. Step 3: Cross multiply
    8,934.38x = 12,321.38 × 5,577.50
  4. Step 4: Simplify right side
    8,934.38x = 68,722,407.46
  5. Step 5: Solve for x
    x = 68,722,407.46/8,934.38
  6. Step 6: Final answer
    x = 7,691.91

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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.