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Finding the Fourth Proportional to 2,512.11, 3,769.20 and 869.82

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Solution

The fourth proportional to 2,512.11, 3,769.20 and 869.82 is: 1,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.11 : 3,769.20 = 869.82 : x
  2. Step 2: Convert to fraction form
    2,512.11/3,769.20 = 869.82/x
  3. Step 3: Cross multiply
    2,512.11x = 3,769.20 × 869.82
  4. Step 4: Simplify right side
    2,512.11x = 3,278,508.15
  5. Step 5: Solve for x
    x = 3,278,508.15/2,512.11
  6. Step 6: Final answer
    x = 1,305.08

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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.