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Finding the Fourth Proportional to 3,375.76, 5,057.52 and 1,640.56

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Solution

The fourth proportional to 3,375.76, 5,057.52 and 1,640.56 is: 2,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.76 : 5,057.52 = 1,640.56 : x
  2. Step 2: Convert to fraction form
    3,375.76/5,057.52 = 1,640.56/x
  3. Step 3: Cross multiply
    3,375.76x = 5,057.52 × 1,640.56
  4. Step 4: Simplify right side
    3,375.76x = 8,297,165.01
  5. Step 5: Solve for x
    x = 8,297,165.01/3,375.76
  6. Step 6: Final answer
    x = 2,457.87

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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.