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Finding the Fourth Proportional to 2,113.97, 3,171.33 and 727.44

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Solution

The fourth proportional to 2,113.97, 3,171.33 and 727.44 is: 1,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.97 : 3,171.33 = 727.44 : x
  2. Step 2: Convert to fraction form
    2,113.97/3,171.33 = 727.44/x
  3. Step 3: Cross multiply
    2,113.97x = 3,171.33 × 727.44
  4. Step 4: Simplify right side
    2,113.97x = 2,306,952.30
  5. Step 5: Solve for x
    x = 2,306,952.30/2,113.97
  6. Step 6: Final answer
    x = 1,091.29

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1.5x scale

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.