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Finding the Fourth Proportional to 38,705.68, 53,418.78 and 22,791.61

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Solution

The fourth proportional to 38,705.68, 53,418.78 and 22,791.61 is: 31,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705.68 : 53,418.78 = 22,791.61 : x
  2. Step 2: Convert to fraction form
    38,705.68/53,418.78 = 22,791.61/x
  3. Step 3: Cross multiply
    38,705.68x = 53,418.78 × 22,791.61
  4. Step 4: Simplify right side
    38,705.68x = 1,217,499,619.38
  5. Step 5: Solve for x
    x = 1,217,499,619.38/38,705.68
  6. Step 6: Final answer
    x = 31,455.33

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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.