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Finding the Fourth Proportional to 1,976.94, 2,728.22 and 1,092.79

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Solution

The fourth proportional to 1,976.94, 2,728.22 and 1,092.79 is: 1,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.94 : 2,728.22 = 1,092.79 : x
  2. Step 2: Convert to fraction form
    1,976.94/2,728.22 = 1,092.79/x
  3. Step 3: Cross multiply
    1,976.94x = 2,728.22 × 1,092.79
  4. Step 4: Simplify right side
    1,976.94x = 2,981,369.48
  5. Step 5: Solve for x
    x = 2,981,369.48/1,976.94
  6. Step 6: Final answer
    x = 1,508.07

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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.