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Finding the Fourth Proportional to 3,906.38, 5,390.78 and 2,137.96

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Solution

The fourth proportional to 3,906.38, 5,390.78 and 2,137.96 is: 2,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.38 : 5,390.78 = 2,137.96 : x
  2. Step 2: Convert to fraction form
    3,906.38/5,390.78 = 2,137.96/x
  3. Step 3: Cross multiply
    3,906.38x = 5,390.78 × 2,137.96
  4. Step 4: Simplify right side
    3,906.38x = 11,525,272.01
  5. Step 5: Solve for x
    x = 11,525,272.01/3,906.38
  6. Step 6: Final answer
    x = 2,950.37

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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.