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Finding the Fourth Proportional to 2,872.08, 3,963.60 and 2,250

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Solution

The fourth proportional to 2,872.08, 3,963.60 and 2,250 is: 3,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.08 : 3,963.60 = 2,250 : x
  2. Step 2: Convert to fraction form
    2,872.08/3,963.60 = 2,250/x
  3. Step 3: Cross multiply
    2,872.08x = 3,963.60 × 2,250
  4. Step 4: Simplify right side
    2,872.08x = 8,918,100
  5. Step 5: Solve for x
    x = 8,918,100/2,872.08
  6. Step 6: Final answer
    x = 3,105.10

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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.