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Finding the Fourth Proportional to 1,839.97, 2,761.04 and 1,319.41

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Solution

The fourth proportional to 1,839.97, 2,761.04 and 1,319.41 is: 1,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.97 : 2,761.04 = 1,319.41 : x
  2. Step 2: Convert to fraction form
    1,839.97/2,761.04 = 1,319.41/x
  3. Step 3: Cross multiply
    1,839.97x = 2,761.04 × 1,319.41
  4. Step 4: Simplify right side
    1,839.97x = 3,642,943.79
  5. Step 5: Solve for x
    x = 3,642,943.79/1,839.97
  6. Step 6: Final answer
    x = 1,979.89

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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.