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Finding the Fourth Proportional to 29,131, 40,200.82 and 15,883

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Solution

The fourth proportional to 29,131, 40,200.82 and 15,883 is: 21,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,131 : 40,200.82 = 15,883 : x
  2. Step 2: Convert to fraction form
    29,131/40,200.82 = 15,883/x
  3. Step 3: Cross multiply
    29,131x = 40,200.82 × 15,883
  4. Step 4: Simplify right side
    29,131x = 638,509,624.06
  5. Step 5: Solve for x
    x = 638,509,624.06/29,131
  6. Step 6: Final answer
    x = 21,918.56

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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.