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Finding the Fourth Proportional to 2,729.71, 4,093.80 and 781.39

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Solution

The fourth proportional to 2,729.71, 4,093.80 and 781.39 is: 1,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.71 : 4,093.80 = 781.39 : x
  2. Step 2: Convert to fraction form
    2,729.71/4,093.80 = 781.39/x
  3. Step 3: Cross multiply
    2,729.71x = 4,093.80 × 781.39
  4. Step 4: Simplify right side
    2,729.71x = 3,198,854.38
  5. Step 5: Solve for x
    x = 3,198,854.38/2,729.71
  6. Step 6: Final answer
    x = 1,171.87

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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.