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Finding the Fourth Proportional to 3,200.78, 4,801.58 and 1,252.73

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Solution

The fourth proportional to 3,200.78, 4,801.58 and 1,252.73 is: 1,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.78 : 4,801.58 = 1,252.73 : x
  2. Step 2: Convert to fraction form
    3,200.78/4,801.58 = 1,252.73/x
  3. Step 3: Cross multiply
    3,200.78x = 4,801.58 × 1,252.73
  4. Step 4: Simplify right side
    3,200.78x = 6,015,083.31
  5. Step 5: Solve for x
    x = 6,015,083.31/3,200.78
  6. Step 6: Final answer
    x = 1,879.26

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1.5x scale

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.