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Finding the Fourth Proportional to 2,745.92, 4,120.68 and 2,523.44

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Solution

The fourth proportional to 2,745.92, 4,120.68 and 2,523.44 is: 3,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.92 : 4,120.68 = 2,523.44 : x
  2. Step 2: Convert to fraction form
    2,745.92/4,120.68 = 2,523.44/x
  3. Step 3: Cross multiply
    2,745.92x = 4,120.68 × 2,523.44
  4. Step 4: Simplify right side
    2,745.92x = 10,398,288.74
  5. Step 5: Solve for x
    x = 10,398,288.74/2,745.92
  6. Step 6: Final answer
    x = 3,786.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.