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Finding the Fourth Proportional to 3,949.62, 5,923.95 and 3,072.99

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Solution

The fourth proportional to 3,949.62, 5,923.95 and 3,072.99 is: 4,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.62 : 5,923.95 = 3,072.99 : x
  2. Step 2: Convert to fraction form
    3,949.62/5,923.95 = 3,072.99/x
  3. Step 3: Cross multiply
    3,949.62x = 5,923.95 × 3,072.99
  4. Step 4: Simplify right side
    3,949.62x = 18,204,239.11
  5. Step 5: Solve for x
    x = 18,204,239.11/3,949.62
  6. Step 6: Final answer
    x = 4,609.11

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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.