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Finding the Fourth Proportional to 3,201.26, 4,800 and 1,251.20

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Solution

The fourth proportional to 3,201.26, 4,800 and 1,251.20 is: 1,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.26 : 4,800 = 1,251.20 : x
  2. Step 2: Convert to fraction form
    3,201.26/4,800 = 1,251.20/x
  3. Step 3: Cross multiply
    3,201.26x = 4,800 × 1,251.20
  4. Step 4: Simplify right side
    3,201.26x = 6,005,760
  5. Step 5: Solve for x
    x = 6,005,760/3,201.26
  6. Step 6: Final answer
    x = 1,876.06

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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.