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Finding the Fourth Proportional to 2,574.88, 3,862.15 and 819.85

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Solution

The fourth proportional to 2,574.88, 3,862.15 and 819.85 is: 1,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.88 : 3,862.15 = 819.85 : x
  2. Step 2: Convert to fraction form
    2,574.88/3,862.15 = 819.85/x
  3. Step 3: Cross multiply
    2,574.88x = 3,862.15 × 819.85
  4. Step 4: Simplify right side
    2,574.88x = 3,166,383.68
  5. Step 5: Solve for x
    x = 3,166,383.68/2,574.88
  6. Step 6: Final answer
    x = 1,229.72

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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.