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Finding the Fourth Proportional to 3,191.92, 4,786.97 and 1,342.69

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Solution

The fourth proportional to 3,191.92, 4,786.97 and 1,342.69 is: 2,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.92 : 4,786.97 = 1,342.69 : x
  2. Step 2: Convert to fraction form
    3,191.92/4,786.97 = 1,342.69/x
  3. Step 3: Cross multiply
    3,191.92x = 4,786.97 × 1,342.69
  4. Step 4: Simplify right side
    3,191.92x = 6,427,398.07
  5. Step 5: Solve for x
    x = 6,427,398.07/3,191.92
  6. Step 6: Final answer
    x = 2,013.65

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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.