Home / 7,723.24-11,578.38-3,109.48

Finding the Fourth Proportional to 7,723.24, 11,578.38 and 3,109.48

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Solution

The fourth proportional to 7,723.24, 11,578.38 and 3,109.48 is: 4,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.24 : 11,578.38 = 3,109.48 : x
  2. Step 2: Convert to fraction form
    7,723.24/11,578.38 = 3,109.48/x
  3. Step 3: Cross multiply
    7,723.24x = 11,578.38 × 3,109.48
  4. Step 4: Simplify right side
    7,723.24x = 36,002,741.04
  5. Step 5: Solve for x
    x = 36,002,741.04/7,723.24
  6. Step 6: Final answer
    x = 4,661.61

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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.