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Finding the Fourth Proportional to 3,747.68, 5,614.28 and 2,099.22

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Solution

The fourth proportional to 3,747.68, 5,614.28 and 2,099.22 is: 3,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.68 : 5,614.28 = 2,099.22 : x
  2. Step 2: Convert to fraction form
    3,747.68/5,614.28 = 2,099.22/x
  3. Step 3: Cross multiply
    3,747.68x = 5,614.28 × 2,099.22
  4. Step 4: Simplify right side
    3,747.68x = 11,785,608.86
  5. Step 5: Solve for x
    x = 11,785,608.86/3,747.68
  6. Step 6: Final answer
    x = 3,144.77

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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.