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Finding the Fourth Proportional to 3,191.82, 4,788.69 and 1,343.82

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Solution

The fourth proportional to 3,191.82, 4,788.69 and 1,343.82 is: 2,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.82 : 4,788.69 = 1,343.82 : x
  2. Step 2: Convert to fraction form
    3,191.82/4,788.69 = 1,343.82/x
  3. Step 3: Cross multiply
    3,191.82x = 4,788.69 × 1,343.82
  4. Step 4: Simplify right side
    3,191.82x = 6,435,137.40
  5. Step 5: Solve for x
    x = 6,435,137.40/3,191.82
  6. Step 6: Final answer
    x = 2,016.13

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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.