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Finding the Fourth Proportional to 2,728.43, 4,091.93 and 879.77

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Solution

The fourth proportional to 2,728.43, 4,091.93 and 879.77 is: 1,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.43 : 4,091.93 = 879.77 : x
  2. Step 2: Convert to fraction form
    2,728.43/4,091.93 = 879.77/x
  3. Step 3: Cross multiply
    2,728.43x = 4,091.93 × 879.77
  4. Step 4: Simplify right side
    2,728.43x = 3,599,936.80
  5. Step 5: Solve for x
    x = 3,599,936.80/2,728.43
  6. Step 6: Final answer
    x = 1,319.42

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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.