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Finding the Fourth Proportional to 7,969.78, 11,954.20 and 3,039.92

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Solution

The fourth proportional to 7,969.78, 11,954.20 and 3,039.92 is: 4,559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.78 : 11,954.20 = 3,039.92 : x
  2. Step 2: Convert to fraction form
    7,969.78/11,954.20 = 3,039.92/x
  3. Step 3: Cross multiply
    7,969.78x = 11,954.20 × 3,039.92
  4. Step 4: Simplify right side
    7,969.78x = 36,339,736.69
  5. Step 5: Solve for x
    x = 36,339,736.69/7,969.78
  6. Step 6: Final answer
    x = 4,559.69

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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.