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Finding the Fourth Proportional to 2,781.76, 4,167.78 and 2,480.44

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Solution

The fourth proportional to 2,781.76, 4,167.78 and 2,480.44 is: 3,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.76 : 4,167.78 = 2,480.44 : x
  2. Step 2: Convert to fraction form
    2,781.76/4,167.78 = 2,480.44/x
  3. Step 3: Cross multiply
    2,781.76x = 4,167.78 × 2,480.44
  4. Step 4: Simplify right side
    2,781.76x = 10,337,928.22
  5. Step 5: Solve for x
    x = 10,337,928.22/2,781.76
  6. Step 6: Final answer
    x = 3,716.33

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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.