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Finding the Fourth Proportional to 2,660.76, 3,978 and 2,254.44

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Solution

The fourth proportional to 2,660.76, 3,978 and 2,254.44 is: 3,370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.76 : 3,978 = 2,254.44 : x
  2. Step 2: Convert to fraction form
    2,660.76/3,978 = 2,254.44/x
  3. Step 3: Cross multiply
    2,660.76x = 3,978 × 2,254.44
  4. Step 4: Simplify right side
    2,660.76x = 8,968,162.32
  5. Step 5: Solve for x
    x = 8,968,162.32/2,660.76
  6. Step 6: Final answer
    x = 3,370.53

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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.