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Finding the Fourth Proportional to 1,338.97, 1,997.13 and 1,261.79

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Solution

The fourth proportional to 1,338.97, 1,997.13 and 1,261.79 is: 1,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.97 : 1,997.13 = 1,261.79 : x
  2. Step 2: Convert to fraction form
    1,338.97/1,997.13 = 1,261.79/x
  3. Step 3: Cross multiply
    1,338.97x = 1,997.13 × 1,261.79
  4. Step 4: Simplify right side
    1,338.97x = 2,519,968.58
  5. Step 5: Solve for x
    x = 2,519,968.58/1,338.97
  6. Step 6: Final answer
    x = 1,882.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.