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Finding the Fourth Proportional to 5,234.90, 7,842.98 and 2,764.19

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Solution

The fourth proportional to 5,234.90, 7,842.98 and 2,764.19 is: 4,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.90 : 7,842.98 = 2,764.19 : x
  2. Step 2: Convert to fraction form
    5,234.90/7,842.98 = 2,764.19/x
  3. Step 3: Cross multiply
    5,234.90x = 7,842.98 × 2,764.19
  4. Step 4: Simplify right side
    5,234.90x = 21,679,433.85
  5. Step 5: Solve for x
    x = 21,679,433.85/5,234.90
  6. Step 6: Final answer
    x = 4,141.33

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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.