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Finding the Fourth Proportional to 2,169.73, 3,251.88 and 998.48

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Solution

The fourth proportional to 2,169.73, 3,251.88 and 998.48 is: 1,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.73 : 3,251.88 = 998.48 : x
  2. Step 2: Convert to fraction form
    2,169.73/3,251.88 = 998.48/x
  3. Step 3: Cross multiply
    2,169.73x = 3,251.88 × 998.48
  4. Step 4: Simplify right side
    2,169.73x = 3,246,937.14
  5. Step 5: Solve for x
    x = 3,246,937.14/2,169.73
  6. Step 6: Final answer
    x = 1,496.47

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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.