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Finding the Fourth Proportional to 3,168.68, 4,751.81 and 2,191.82

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Solution

The fourth proportional to 3,168.68, 4,751.81 and 2,191.82 is: 3,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.68 : 4,751.81 = 2,191.82 : x
  2. Step 2: Convert to fraction form
    3,168.68/4,751.81 = 2,191.82/x
  3. Step 3: Cross multiply
    3,168.68x = 4,751.81 × 2,191.82
  4. Step 4: Simplify right side
    3,168.68x = 10,415,101.24
  5. Step 5: Solve for x
    x = 10,415,101.24/3,168.68
  6. Step 6: Final answer
    x = 3,286.89

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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.