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Finding the Fourth Proportional to 7,843, 11,769.90 and 3,226

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Solution

The fourth proportional to 7,843, 11,769.90 and 3,226 is: 4,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843 : 11,769.90 = 3,226 : x
  2. Step 2: Convert to fraction form
    7,843/11,769.90 = 3,226/x
  3. Step 3: Cross multiply
    7,843x = 11,769.90 × 3,226
  4. Step 4: Simplify right side
    7,843x = 37,969,697.40
  5. Step 5: Solve for x
    x = 37,969,697.40/7,843
  6. Step 6: Final answer
    x = 4,841.22

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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.