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Finding the Fourth Proportional to 3,206.81, 4,807.81 and 2,163.88

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Solution

The fourth proportional to 3,206.81, 4,807.81 and 2,163.88 is: 3,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.81 : 4,807.81 = 2,163.88 : x
  2. Step 2: Convert to fraction form
    3,206.81/4,807.81 = 2,163.88/x
  3. Step 3: Cross multiply
    3,206.81x = 4,807.81 × 2,163.88
  4. Step 4: Simplify right side
    3,206.81x = 10,403,523.90
  5. Step 5: Solve for x
    x = 10,403,523.90/3,206.81
  6. Step 6: Final answer
    x = 3,244.20

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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.