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Finding the Fourth Proportional to 3,199.78, 4,793.30 and 2,542.78

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Solution

The fourth proportional to 3,199.78, 4,793.30 and 2,542.78 is: 3,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.78 : 4,793.30 = 2,542.78 : x
  2. Step 2: Convert to fraction form
    3,199.78/4,793.30 = 2,542.78/x
  3. Step 3: Cross multiply
    3,199.78x = 4,793.30 × 2,542.78
  4. Step 4: Simplify right side
    3,199.78x = 12,188,307.37
  5. Step 5: Solve for x
    x = 12,188,307.37/3,199.78
  6. Step 6: Final answer
    x = 3,809.11

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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.