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Finding the Fourth Proportional to 3,966, 5,469.84 and 2,640.24

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Solution

The fourth proportional to 3,966, 5,469.84 and 2,640.24 is: 3,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966 : 5,469.84 = 2,640.24 : x
  2. Step 2: Convert to fraction form
    3,966/5,469.84 = 2,640.24/x
  3. Step 3: Cross multiply
    3,966x = 5,469.84 × 2,640.24
  4. Step 4: Simplify right side
    3,966x = 14,441,690.36
  5. Step 5: Solve for x
    x = 14,441,690.36/3,966
  6. Step 6: Final answer
    x = 3,641.37

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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.