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Finding the Fourth Proportional to 3,193.80, 4,402.80 and 2,308.02

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Solution

The fourth proportional to 3,193.80, 4,402.80 and 2,308.02 is: 3,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.80 : 4,402.80 = 2,308.02 : x
  2. Step 2: Convert to fraction form
    3,193.80/4,402.80 = 2,308.02/x
  3. Step 3: Cross multiply
    3,193.80x = 4,402.80 × 2,308.02
  4. Step 4: Simplify right side
    3,193.80x = 10,161,750.46
  5. Step 5: Solve for x
    x = 10,161,750.46/3,193.80
  6. Step 6: Final answer
    x = 3,181.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.