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Finding the Fourth Proportional to 40,408, 55,770.72 and 22,744

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Solution

The fourth proportional to 40,408, 55,770.72 and 22,744 is: 31,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,408 : 55,770.72 = 22,744 : x
  2. Step 2: Convert to fraction form
    40,408/55,770.72 = 22,744/x
  3. Step 3: Cross multiply
    40,408x = 55,770.72 × 22,744
  4. Step 4: Simplify right side
    40,408x = 1,268,449,255.68
  5. Step 5: Solve for x
    x = 1,268,449,255.68/40,408
  6. Step 6: Final answer
    x = 31,391.04

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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.