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Finding the Fourth Proportional to 6,786.78, 10,180.29 and 2,169.78

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Solution

The fourth proportional to 6,786.78, 10,180.29 and 2,169.78 is: 3,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.78 : 10,180.29 = 2,169.78 : x
  2. Step 2: Convert to fraction form
    6,786.78/10,180.29 = 2,169.78/x
  3. Step 3: Cross multiply
    6,786.78x = 10,180.29 × 2,169.78
  4. Step 4: Simplify right side
    6,786.78x = 22,088,989.64
  5. Step 5: Solve for x
    x = 22,088,989.64/6,786.78
  6. Step 6: Final answer
    x = 3,254.71

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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.