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Finding the Fourth Proportional to 2,760.09, 4,140.09 and 680.11

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Solution

The fourth proportional to 2,760.09, 4,140.09 and 680.11 is: 1,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.09 : 4,140.09 = 680.11 : x
  2. Step 2: Convert to fraction form
    2,760.09/4,140.09 = 680.11/x
  3. Step 3: Cross multiply
    2,760.09x = 4,140.09 × 680.11
  4. Step 4: Simplify right side
    2,760.09x = 2,815,716.61
  5. Step 5: Solve for x
    x = 2,815,716.61/2,760.09
  6. Step 6: Final answer
    x = 1,020.15

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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.