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Finding the Fourth Proportional to 2,149.05, 3,222.67 and 687.81

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Solution

The fourth proportional to 2,149.05, 3,222.67 and 687.81 is: 1,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.05 : 3,222.67 = 687.81 : x
  2. Step 2: Convert to fraction form
    2,149.05/3,222.67 = 687.81/x
  3. Step 3: Cross multiply
    2,149.05x = 3,222.67 × 687.81
  4. Step 4: Simplify right side
    2,149.05x = 2,216,584.65
  5. Step 5: Solve for x
    x = 2,216,584.65/2,149.05
  6. Step 6: Final answer
    x = 1,031.43

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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.