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Finding the Fourth Proportional to 1,976.97, 2,728.31 and 1,230.96

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Solution

The fourth proportional to 1,976.97, 2,728.31 and 1,230.96 is: 1,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.97 : 2,728.31 = 1,230.96 : x
  2. Step 2: Convert to fraction form
    1,976.97/2,728.31 = 1,230.96/x
  3. Step 3: Cross multiply
    1,976.97x = 2,728.31 × 1,230.96
  4. Step 4: Simplify right side
    1,976.97x = 3,358,434.32
  5. Step 5: Solve for x
    x = 3,358,434.32/1,976.97
  6. Step 6: Final answer
    x = 1,698.78

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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.