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Finding the Fourth Proportional to 38,414.34, 57,629.34 and 21,781.80

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Solution

The fourth proportional to 38,414.34, 57,629.34 and 21,781.80 is: 32,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.34 : 57,629.34 = 21,781.80 : x
  2. Step 2: Convert to fraction form
    38,414.34/57,629.34 = 21,781.80/x
  3. Step 3: Cross multiply
    38,414.34x = 57,629.34 × 21,781.80
  4. Step 4: Simplify right side
    38,414.34x = 1,255,270,758.01
  5. Step 5: Solve for x
    x = 1,255,270,758.01/38,414.34
  6. Step 6: Final answer
    x = 32,677.14

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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.