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Finding the Fourth Proportional to 2,578.53, 3,876.05 and 2,469.18

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Solution

The fourth proportional to 2,578.53, 3,876.05 and 2,469.18 is: 3,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.53 : 3,876.05 = 2,469.18 : x
  2. Step 2: Convert to fraction form
    2,578.53/3,876.05 = 2,469.18/x
  3. Step 3: Cross multiply
    2,578.53x = 3,876.05 × 2,469.18
  4. Step 4: Simplify right side
    2,578.53x = 9,570,685.85
  5. Step 5: Solve for x
    x = 9,570,685.85/2,578.53
  6. Step 6: Final answer
    x = 3,711.68

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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.