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Finding the Fourth Proportional to 5,234.78, 7,842.96 and 2,764.16

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Solution

The fourth proportional to 5,234.78, 7,842.96 and 2,764.16 is: 4,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.78 : 7,842.96 = 2,764.16 : x
  2. Step 2: Convert to fraction form
    5,234.78/7,842.96 = 2,764.16/x
  3. Step 3: Cross multiply
    5,234.78x = 7,842.96 × 2,764.16
  4. Step 4: Simplify right side
    5,234.78x = 21,679,196.31
  5. Step 5: Solve for x
    x = 21,679,196.31/5,234.78
  6. Step 6: Final answer
    x = 4,141.38

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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.