Home / 6,786.08-10,178.64-2,105.97

Finding the Fourth Proportional to 6,786.08, 10,178.64 and 2,105.97

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Solution

The fourth proportional to 6,786.08, 10,178.64 and 2,105.97 is: 3,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.08 : 10,178.64 = 2,105.97 : x
  2. Step 2: Convert to fraction form
    6,786.08/10,178.64 = 2,105.97/x
  3. Step 3: Cross multiply
    6,786.08x = 10,178.64 × 2,105.97
  4. Step 4: Simplify right side
    6,786.08x = 21,435,952.27
  5. Step 5: Solve for x
    x = 21,435,952.27/6,786.08
  6. Step 6: Final answer
    x = 3,158.81

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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.