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Finding the Fourth Proportional to 2,728.34, 4,092.10 and 879.61

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Solution

The fourth proportional to 2,728.34, 4,092.10 and 879.61 is: 1,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.34 : 4,092.10 = 879.61 : x
  2. Step 2: Convert to fraction form
    2,728.34/4,092.10 = 879.61/x
  3. Step 3: Cross multiply
    2,728.34x = 4,092.10 × 879.61
  4. Step 4: Simplify right side
    2,728.34x = 3,599,452.08
  5. Step 5: Solve for x
    x = 3,599,452.08/2,728.34
  6. Step 6: Final answer
    x = 1,319.28

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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.