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Finding the Fourth Proportional to 3,286.92, 4,938.03 and 3,109.98

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Solution

The fourth proportional to 3,286.92, 4,938.03 and 3,109.98 is: 4,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.92 : 4,938.03 = 3,109.98 : x
  2. Step 2: Convert to fraction form
    3,286.92/4,938.03 = 3,109.98/x
  3. Step 3: Cross multiply
    3,286.92x = 4,938.03 × 3,109.98
  4. Step 4: Simplify right side
    3,286.92x = 15,357,174.54
  5. Step 5: Solve for x
    x = 15,357,174.54/3,286.92
  6. Step 6: Final answer
    x = 4,672.21

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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.