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Finding the Fourth Proportional to 2,761.98, 4,142.94 and 1,943.90

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Solution

The fourth proportional to 2,761.98, 4,142.94 and 1,943.90 is: 2,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.98 : 4,142.94 = 1,943.90 : x
  2. Step 2: Convert to fraction form
    2,761.98/4,142.94 = 1,943.90/x
  3. Step 3: Cross multiply
    2,761.98x = 4,142.94 × 1,943.90
  4. Step 4: Simplify right side
    2,761.98x = 8,053,461.07
  5. Step 5: Solve for x
    x = 8,053,461.07/2,761.98
  6. Step 6: Final answer
    x = 2,915.83

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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.