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Finding the Fourth Proportional to 29,122.12, 43,689.66 and 8,344

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Solution

The fourth proportional to 29,122.12, 43,689.66 and 8,344 is: 12,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,122.12 : 43,689.66 = 8,344 : x
  2. Step 2: Convert to fraction form
    29,122.12/43,689.66 = 8,344/x
  3. Step 3: Cross multiply
    29,122.12x = 43,689.66 × 8,344
  4. Step 4: Simplify right side
    29,122.12x = 364,546,523.04
  5. Step 5: Solve for x
    x = 364,546,523.04/29,122.12
  6. Step 6: Final answer
    x = 12,517.86

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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.