Home / 2,122.09-3,183.10-872.43

Finding the Fourth Proportional to 2,122.09, 3,183.10 and 872.43

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Solution

The fourth proportional to 2,122.09, 3,183.10 and 872.43 is: 1,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.09 : 3,183.10 = 872.43 : x
  2. Step 2: Convert to fraction form
    2,122.09/3,183.10 = 872.43/x
  3. Step 3: Cross multiply
    2,122.09x = 3,183.10 × 872.43
  4. Step 4: Simplify right side
    2,122.09x = 2,777,031.93
  5. Step 5: Solve for x
    x = 2,777,031.93/2,122.09
  6. Step 6: Final answer
    x = 1,308.63

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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.