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Finding the Fourth Proportional to 2,867.62, 3,960.75 and 2,202.88

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Solution

The fourth proportional to 2,867.62, 3,960.75 and 2,202.88 is: 3,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.62 : 3,960.75 = 2,202.88 : x
  2. Step 2: Convert to fraction form
    2,867.62/3,960.75 = 2,202.88/x
  3. Step 3: Cross multiply
    2,867.62x = 3,960.75 × 2,202.88
  4. Step 4: Simplify right side
    2,867.62x = 8,725,056.96
  5. Step 5: Solve for x
    x = 8,725,056.96/2,867.62
  6. Step 6: Final answer
    x = 3,042.61

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1.5x scale

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.