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Finding the Fourth Proportional to 2,508.46, 3,763.02 and 864.56

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Solution

The fourth proportional to 2,508.46, 3,763.02 and 864.56 is: 1,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.46 : 3,763.02 = 864.56 : x
  2. Step 2: Convert to fraction form
    2,508.46/3,763.02 = 864.56/x
  3. Step 3: Cross multiply
    2,508.46x = 3,763.02 × 864.56
  4. Step 4: Simplify right side
    2,508.46x = 3,253,365.98
  5. Step 5: Solve for x
    x = 3,253,365.98/2,508.46
  6. Step 6: Final answer
    x = 1,296.96

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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.