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Finding the Fourth Proportional to 7,842.98, 11,757.24 and 3,397.85

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Solution

The fourth proportional to 7,842.98, 11,757.24 and 3,397.85 is: 5,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.98 : 11,757.24 = 3,397.85 : x
  2. Step 2: Convert to fraction form
    7,842.98/11,757.24 = 3,397.85/x
  3. Step 3: Cross multiply
    7,842.98x = 11,757.24 × 3,397.85
  4. Step 4: Simplify right side
    7,842.98x = 39,949,317.04
  5. Step 5: Solve for x
    x = 39,949,317.04/7,842.98
  6. Step 6: Final answer
    x = 5,093.64

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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.