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Finding the Fourth Proportional to 3,906.53, 5,391.98 and 2,649.69

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Solution

The fourth proportional to 3,906.53, 5,391.98 and 2,649.69 is: 3,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.53 : 5,391.98 = 2,649.69 : x
  2. Step 2: Convert to fraction form
    3,906.53/5,391.98 = 2,649.69/x
  3. Step 3: Cross multiply
    3,906.53x = 5,391.98 × 2,649.69
  4. Step 4: Simplify right side
    3,906.53x = 14,287,060.74
  5. Step 5: Solve for x
    x = 14,287,060.74/3,906.53
  6. Step 6: Final answer
    x = 3,657.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.