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Finding the Fourth Proportional to 2,574.57, 3,861.88 and 819.56

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Solution

The fourth proportional to 2,574.57, 3,861.88 and 819.56 is: 1,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.57 : 3,861.88 = 819.56 : x
  2. Step 2: Convert to fraction form
    2,574.57/3,861.88 = 819.56/x
  3. Step 3: Cross multiply
    2,574.57x = 3,861.88 × 819.56
  4. Step 4: Simplify right side
    2,574.57x = 3,165,022.82
  5. Step 5: Solve for x
    x = 3,165,022.82/2,574.57
  6. Step 6: Final answer
    x = 1,229.34

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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.