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Finding the Fourth Proportional to 8,951.32, 13,427 and 3,107.94

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Solution

The fourth proportional to 8,951.32, 13,427 and 3,107.94 is: 4,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951.32 : 13,427 = 3,107.94 : x
  2. Step 2: Convert to fraction form
    8,951.32/13,427 = 3,107.94/x
  3. Step 3: Cross multiply
    8,951.32x = 13,427 × 3,107.94
  4. Step 4: Simplify right side
    8,951.32x = 41,730,310.38
  5. Step 5: Solve for x
    x = 41,730,310.38/8,951.32
  6. Step 6: Final answer
    x = 4,661.92

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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.