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Finding the Fourth Proportional to 7,843.91, 11,768.15 and 3,161.50

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Solution

The fourth proportional to 7,843.91, 11,768.15 and 3,161.50 is: 4,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.91 : 11,768.15 = 3,161.50 : x
  2. Step 2: Convert to fraction form
    7,843.91/11,768.15 = 3,161.50/x
  3. Step 3: Cross multiply
    7,843.91x = 11,768.15 × 3,161.50
  4. Step 4: Simplify right side
    7,843.91x = 37,205,006.23
  5. Step 5: Solve for x
    x = 37,205,006.23/7,843.91
  6. Step 6: Final answer
    x = 4,743.17

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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.