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Finding the Fourth Proportional to 3,966.56, 5,472.61 and 2,640.48

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Solution

The fourth proportional to 3,966.56, 5,472.61 and 2,640.48 is: 3,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.56 : 5,472.61 = 2,640.48 : x
  2. Step 2: Convert to fraction form
    3,966.56/5,472.61 = 2,640.48/x
  3. Step 3: Cross multiply
    3,966.56x = 5,472.61 × 2,640.48
  4. Step 4: Simplify right side
    3,966.56x = 14,450,310.65
  5. Step 5: Solve for x
    x = 14,450,310.65/3,966.56
  6. Step 6: Final answer
    x = 3,643.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.