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Finding the Fourth Proportional to 7,843.38, 11,767.11 and 2,914.44

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Solution

The fourth proportional to 7,843.38, 11,767.11 and 2,914.44 is: 4,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.38 : 11,767.11 = 2,914.44 : x
  2. Step 2: Convert to fraction form
    7,843.38/11,767.11 = 2,914.44/x
  3. Step 3: Cross multiply
    7,843.38x = 11,767.11 × 2,914.44
  4. Step 4: Simplify right side
    7,843.38x = 34,294,536.07
  5. Step 5: Solve for x
    x = 34,294,536.07/7,843.38
  6. Step 6: Final answer
    x = 4,372.42

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1.5x scale

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.