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Finding the Fourth Proportional to 3,201.72, 4,799.73 and 1,255.28

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Solution

The fourth proportional to 3,201.72, 4,799.73 and 1,255.28 is: 1,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.72 : 4,799.73 = 1,255.28 : x
  2. Step 2: Convert to fraction form
    3,201.72/4,799.73 = 1,255.28/x
  3. Step 3: Cross multiply
    3,201.72x = 4,799.73 × 1,255.28
  4. Step 4: Simplify right side
    3,201.72x = 6,025,005.07
  5. Step 5: Solve for x
    x = 6,025,005.07/3,201.72
  6. Step 6: Final answer
    x = 1,881.80

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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.