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Finding the Fourth Proportional to 3,960.90, 5,942.25 and 2,111.04

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Solution

The fourth proportional to 3,960.90, 5,942.25 and 2,111.04 is: 3,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.90 : 5,942.25 = 2,111.04 : x
  2. Step 2: Convert to fraction form
    3,960.90/5,942.25 = 2,111.04/x
  3. Step 3: Cross multiply
    3,960.90x = 5,942.25 × 2,111.04
  4. Step 4: Simplify right side
    3,960.90x = 12,544,327.44
  5. Step 5: Solve for x
    x = 12,544,327.44/3,960.90
  6. Step 6: Final answer
    x = 3,167.04

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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.