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Finding the Fourth Proportional to 7,843.72, 11,757.48 and 3,684.28

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Solution

The fourth proportional to 7,843.72, 11,757.48 and 3,684.28 is: 5,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.72 : 11,757.48 = 3,684.28 : x
  2. Step 2: Convert to fraction form
    7,843.72/11,757.48 = 3,684.28/x
  3. Step 3: Cross multiply
    7,843.72x = 11,757.48 × 3,684.28
  4. Step 4: Simplify right side
    7,843.72x = 43,317,848.41
  5. Step 5: Solve for x
    x = 43,317,848.41/7,843.72
  6. Step 6: Final answer
    x = 5,522.62

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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.