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Finding the Fourth Proportional to 7,842.34, 11,757.84 and 3,892.78

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Solution

The fourth proportional to 7,842.34, 11,757.84 and 3,892.78 is: 5,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.34 : 11,757.84 = 3,892.78 : x
  2. Step 2: Convert to fraction form
    7,842.34/11,757.84 = 3,892.78/x
  3. Step 3: Cross multiply
    7,842.34x = 11,757.84 × 3,892.78
  4. Step 4: Simplify right side
    7,842.34x = 45,770,684.40
  5. Step 5: Solve for x
    x = 45,770,684.40/7,842.34
  6. Step 6: Final answer
    x = 5,836.36

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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.