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Finding the Fourth Proportional to 26,780, 40,168.44 and 12,729.68

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Solution

The fourth proportional to 26,780, 40,168.44 and 12,729.68 is: 19,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,780 : 40,168.44 = 12,729.68 : x
  2. Step 2: Convert to fraction form
    26,780/40,168.44 = 12,729.68/x
  3. Step 3: Cross multiply
    26,780x = 40,168.44 × 12,729.68
  4. Step 4: Simplify right side
    26,780x = 511,331,387.30
  5. Step 5: Solve for x
    x = 511,331,387.30/26,780
  6. Step 6: Final answer
    x = 19,093.78

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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.