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Finding the Fourth Proportional to 5,310.82, 7,972.37 and 2,850.44

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Solution

The fourth proportional to 5,310.82, 7,972.37 and 2,850.44 is: 4,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.82 : 7,972.37 = 2,850.44 : x
  2. Step 2: Convert to fraction form
    5,310.82/7,972.37 = 2,850.44/x
  3. Step 3: Cross multiply
    5,310.82x = 7,972.37 × 2,850.44
  4. Step 4: Simplify right side
    5,310.82x = 22,724,779.80
  5. Step 5: Solve for x
    x = 22,724,779.80/5,310.82
  6. Step 6: Final answer
    x = 4,278.96

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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.