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Finding the Fourth Proportional to 2,761.31, 4,141.94 and 813.48

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Solution

The fourth proportional to 2,761.31, 4,141.94 and 813.48 is: 1,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.31 : 4,141.94 = 813.48 : x
  2. Step 2: Convert to fraction form
    2,761.31/4,141.94 = 813.48/x
  3. Step 3: Cross multiply
    2,761.31x = 4,141.94 × 813.48
  4. Step 4: Simplify right side
    2,761.31x = 3,369,381.28
  5. Step 5: Solve for x
    x = 3,369,381.28/2,761.31
  6. Step 6: Final answer
    x = 1,220.21

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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.