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Finding the Fourth Proportional to 3,960.77, 5,939.40 and 2,111.54

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Solution

The fourth proportional to 3,960.77, 5,939.40 and 2,111.54 is: 3,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.77 : 5,939.40 = 2,111.54 : x
  2. Step 2: Convert to fraction form
    3,960.77/5,939.40 = 2,111.54/x
  3. Step 3: Cross multiply
    3,960.77x = 5,939.40 × 2,111.54
  4. Step 4: Simplify right side
    3,960.77x = 12,541,280.68
  5. Step 5: Solve for x
    x = 12,541,280.68/3,960.77
  6. Step 6: Final answer
    x = 3,166.37

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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.