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Finding the Fourth Proportional to 2,727.78, 4,092.35 and 879.11

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Solution

The fourth proportional to 2,727.78, 4,092.35 and 879.11 is: 1,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.78 : 4,092.35 = 879.11 : x
  2. Step 2: Convert to fraction form
    2,727.78/4,092.35 = 879.11/x
  3. Step 3: Cross multiply
    2,727.78x = 4,092.35 × 879.11
  4. Step 4: Simplify right side
    2,727.78x = 3,597,625.81
  5. Step 5: Solve for x
    x = 3,597,625.81/2,727.78
  6. Step 6: Final answer
    x = 1,318.88

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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.