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Finding the Fourth Proportional to 4,578.78, 6,868.16 and 3,960.65

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Solution

The fourth proportional to 4,578.78, 6,868.16 and 3,960.65 is: 5,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.78 : 6,868.16 = 3,960.65 : x
  2. Step 2: Convert to fraction form
    4,578.78/6,868.16 = 3,960.65/x
  3. Step 3: Cross multiply
    4,578.78x = 6,868.16 × 3,960.65
  4. Step 4: Simplify right side
    4,578.78x = 27,202,323.76
  5. Step 5: Solve for x
    x = 27,202,323.76/4,578.78
  6. Step 6: Final answer
    x = 5,940.95

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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.