Home / 7,843.05-11,768.67-3,164.22

Finding the Fourth Proportional to 7,843.05, 11,768.67 and 3,164.22

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Solution

The fourth proportional to 7,843.05, 11,768.67 and 3,164.22 is: 4,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.05 : 11,768.67 = 3,164.22 : x
  2. Step 2: Convert to fraction form
    7,843.05/11,768.67 = 3,164.22/x
  3. Step 3: Cross multiply
    7,843.05x = 11,768.67 × 3,164.22
  4. Step 4: Simplify right side
    7,843.05x = 37,238,660.99
  5. Step 5: Solve for x
    x = 37,238,660.99/7,843.05
  6. Step 6: Final answer
    x = 4,747.98

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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.