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Finding the Fourth Proportional to 8,431.04, 12,640.31 and 4,044.32

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Solution

The fourth proportional to 8,431.04, 12,640.31 and 4,044.32 is: 6,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.04 : 12,640.31 = 4,044.32 : x
  2. Step 2: Convert to fraction form
    8,431.04/12,640.31 = 4,044.32/x
  3. Step 3: Cross multiply
    8,431.04x = 12,640.31 × 4,044.32
  4. Step 4: Simplify right side
    8,431.04x = 51,121,375.12
  5. Step 5: Solve for x
    x = 51,121,375.12/8,431.04
  6. Step 6: Final answer
    x = 6,063.48

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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.