Home / 7,845-11,767.20-3,163.56

Finding the Fourth Proportional to 7,845, 11,767.20 and 3,163.56

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Solution

The fourth proportional to 7,845, 11,767.20 and 3,163.56 is: 4,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845 : 11,767.20 = 3,163.56 : x
  2. Step 2: Convert to fraction form
    7,845/11,767.20 = 3,163.56/x
  3. Step 3: Cross multiply
    7,845x = 11,767.20 × 3,163.56
  4. Step 4: Simplify right side
    7,845x = 37,226,243.23
  5. Step 5: Solve for x
    x = 37,226,243.23/7,845
  6. Step 6: Final answer
    x = 4,745.22

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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.