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Finding the Fourth Proportional to 3,266.64, 4,902.66 and 1,786.22

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Solution

The fourth proportional to 3,266.64, 4,902.66 and 1,786.22 is: 2,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.64 : 4,902.66 = 1,786.22 : x
  2. Step 2: Convert to fraction form
    3,266.64/4,902.66 = 1,786.22/x
  3. Step 3: Cross multiply
    3,266.64x = 4,902.66 × 1,786.22
  4. Step 4: Simplify right side
    3,266.64x = 8,757,229.35
  5. Step 5: Solve for x
    x = 8,757,229.35/3,266.64
  6. Step 6: Final answer
    x = 2,680.81

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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.