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Finding the Fourth Proportional to 2,728.18, 4,092.28 and 879.40

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Solution

The fourth proportional to 2,728.18, 4,092.28 and 879.40 is: 1,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.18 : 4,092.28 = 879.40 : x
  2. Step 2: Convert to fraction form
    2,728.18/4,092.28 = 879.40/x
  3. Step 3: Cross multiply
    2,728.18x = 4,092.28 × 879.40
  4. Step 4: Simplify right side
    2,728.18x = 3,598,751.03
  5. Step 5: Solve for x
    x = 3,598,751.03/2,728.18
  6. Step 6: Final answer
    x = 1,319.10

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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.