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Finding the Fourth Proportional to 2,687.60, 4,027.08 and 2,255.60

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Solution

The fourth proportional to 2,687.60, 4,027.08 and 2,255.60 is: 3,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.60 : 4,027.08 = 2,255.60 : x
  2. Step 2: Convert to fraction form
    2,687.60/4,027.08 = 2,255.60/x
  3. Step 3: Cross multiply
    2,687.60x = 4,027.08 × 2,255.60
  4. Step 4: Simplify right side
    2,687.60x = 9,083,481.65
  5. Step 5: Solve for x
    x = 9,083,481.65/2,687.60
  6. Step 6: Final answer
    x = 3,379.77

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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.