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Finding the Fourth Proportional to 7,891.75, 11,843.18 and 7,138.03

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Solution

The fourth proportional to 7,891.75, 11,843.18 and 7,138.03 is: 10,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.75 : 11,843.18 = 7,138.03 : x
  2. Step 2: Convert to fraction form
    7,891.75/11,843.18 = 7,138.03/x
  3. Step 3: Cross multiply
    7,891.75x = 11,843.18 × 7,138.03
  4. Step 4: Simplify right side
    7,891.75x = 84,536,974.14
  5. Step 5: Solve for x
    x = 84,536,974.14/7,891.75
  6. Step 6: Final answer
    x = 10,712.07

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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.