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Finding the Fourth Proportional to 2,728.55, 4,091.65 and 878.65

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Solution

The fourth proportional to 2,728.55, 4,091.65 and 878.65 is: 1,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.55 : 4,091.65 = 878.65 : x
  2. Step 2: Convert to fraction form
    2,728.55/4,091.65 = 878.65/x
  3. Step 3: Cross multiply
    2,728.55x = 4,091.65 × 878.65
  4. Step 4: Simplify right side
    2,728.55x = 3,595,115.85
  5. Step 5: Solve for x
    x = 3,595,115.85/2,728.55
  6. Step 6: Final answer
    x = 1,317.59

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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.