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Finding the Fourth Proportional to 2,960, 4,081.92 and 2,680.96

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Solution

The fourth proportional to 2,960, 4,081.92 and 2,680.96 is: 3,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960 : 4,081.92 = 2,680.96 : x
  2. Step 2: Convert to fraction form
    2,960/4,081.92 = 2,680.96/x
  3. Step 3: Cross multiply
    2,960x = 4,081.92 × 2,680.96
  4. Step 4: Simplify right side
    2,960x = 10,943,464.24
  5. Step 5: Solve for x
    x = 10,943,464.24/2,960
  6. Step 6: Final answer
    x = 3,697.12

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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.