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Finding the Fourth Proportional to 2,756, 3,792.12 and 2,660.24

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Solution

The fourth proportional to 2,756, 3,792.12 and 2,660.24 is: 3,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756 : 3,792.12 = 2,660.24 : x
  2. Step 2: Convert to fraction form
    2,756/3,792.12 = 2,660.24/x
  3. Step 3: Cross multiply
    2,756x = 3,792.12 × 2,660.24
  4. Step 4: Simplify right side
    2,756x = 10,087,949.31
  5. Step 5: Solve for x
    x = 10,087,949.31/2,756
  6. Step 6: Final answer
    x = 3,660.36

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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.