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Finding the Fourth Proportional to 3,649.87, 5,469.76 and 3,161.71

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Solution

The fourth proportional to 3,649.87, 5,469.76 and 3,161.71 is: 4,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.87 : 5,469.76 = 3,161.71 : x
  2. Step 2: Convert to fraction form
    3,649.87/5,469.76 = 3,161.71/x
  3. Step 3: Cross multiply
    3,649.87x = 5,469.76 × 3,161.71
  4. Step 4: Simplify right side
    3,649.87x = 17,293,794.89
  5. Step 5: Solve for x
    x = 17,293,794.89/3,649.87
  6. Step 6: Final answer
    x = 4,738.19

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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.