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Finding the Fourth Proportional to 29,198.97, 43,805.74 and 8,422.47

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Solution

The fourth proportional to 29,198.97, 43,805.74 and 8,422.47 is: 12,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,198.97 : 43,805.74 = 8,422.47 : x
  2. Step 2: Convert to fraction form
    29,198.97/43,805.74 = 8,422.47/x
  3. Step 3: Cross multiply
    29,198.97x = 43,805.74 × 8,422.47
  4. Step 4: Simplify right side
    29,198.97x = 368,952,530.98
  5. Step 5: Solve for x
    x = 368,952,530.98/29,198.97
  6. Step 6: Final answer
    x = 12,635.81

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