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Finding the Fourth Proportional to 3,969.27, 5,949.86 and 2,509.38

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Solution

The fourth proportional to 3,969.27, 5,949.86 and 2,509.38 is: 3,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.27 : 5,949.86 = 2,509.38 : x
  2. Step 2: Convert to fraction form
    3,969.27/5,949.86 = 2,509.38/x
  3. Step 3: Cross multiply
    3,969.27x = 5,949.86 × 2,509.38
  4. Step 4: Simplify right side
    3,969.27x = 14,930,447.14
  5. Step 5: Solve for x
    x = 14,930,447.14/3,969.27
  6. Step 6: Final answer
    x = 3,761.51

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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.