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Finding the Fourth Proportional to 2,761.54, 4,141.85 and 813.29

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Solution

The fourth proportional to 2,761.54, 4,141.85 and 813.29 is: 1,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.54 : 4,141.85 = 813.29 : x
  2. Step 2: Convert to fraction form
    2,761.54/4,141.85 = 813.29/x
  3. Step 3: Cross multiply
    2,761.54x = 4,141.85 × 813.29
  4. Step 4: Simplify right side
    2,761.54x = 3,368,500.41
  5. Step 5: Solve for x
    x = 3,368,500.41/2,761.54
  6. Step 6: Final answer
    x = 1,219.79

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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.