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Finding the Fourth Proportional to 29,097, 40,153.86 and 15,849

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Solution

The fourth proportional to 29,097, 40,153.86 and 15,849 is: 21,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097 : 40,153.86 = 15,849 : x
  2. Step 2: Convert to fraction form
    29,097/40,153.86 = 15,849/x
  3. Step 3: Cross multiply
    29,097x = 40,153.86 × 15,849
  4. Step 4: Simplify right side
    29,097x = 636,398,527.14
  5. Step 5: Solve for x
    x = 636,398,527.14/29,097
  6. Step 6: Final answer
    x = 21,871.62

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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.