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Finding the Fourth Proportional to 3,195.78, 4,793.14 and 1,636.92

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Solution

The fourth proportional to 3,195.78, 4,793.14 and 1,636.92 is: 2,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.78 : 4,793.14 = 1,636.92 : x
  2. Step 2: Convert to fraction form
    3,195.78/4,793.14 = 1,636.92/x
  3. Step 3: Cross multiply
    3,195.78x = 4,793.14 × 1,636.92
  4. Step 4: Simplify right side
    3,195.78x = 7,845,986.73
  5. Step 5: Solve for x
    x = 7,845,986.73/3,195.78
  6. Step 6: Final answer
    x = 2,455.11

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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.