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Finding the Fourth Proportional to 1,691.97, 2,335.31 and 1,101.48

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Solution

The fourth proportional to 1,691.97, 2,335.31 and 1,101.48 is: 1,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.97 : 2,335.31 = 1,101.48 : x
  2. Step 2: Convert to fraction form
    1,691.97/2,335.31 = 1,101.48/x
  3. Step 3: Cross multiply
    1,691.97x = 2,335.31 × 1,101.48
  4. Step 4: Simplify right side
    1,691.97x = 2,572,291.75
  5. Step 5: Solve for x
    x = 2,572,291.75/1,691.97
  6. Step 6: Final answer
    x = 1,520.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.