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Finding the Fourth Proportional to 19,957.38, 29,936.97 and 6,449.61

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Solution

The fourth proportional to 19,957.38, 29,936.97 and 6,449.61 is: 9,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.38 : 29,936.97 = 6,449.61 : x
  2. Step 2: Convert to fraction form
    19,957.38/29,936.97 = 6,449.61/x
  3. Step 3: Cross multiply
    19,957.38x = 29,936.97 × 6,449.61
  4. Step 4: Simplify right side
    19,957.38x = 193,081,781.08
  5. Step 5: Solve for x
    x = 193,081,781.08/19,957.38
  6. Step 6: Final answer
    x = 9,674.71

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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.