Home / 2,121.01-3,179.68-823.39

Finding the Fourth Proportional to 2,121.01, 3,179.68 and 823.39

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Solution

The fourth proportional to 2,121.01, 3,179.68 and 823.39 is: 1,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.01 : 3,179.68 = 823.39 : x
  2. Step 2: Convert to fraction form
    2,121.01/3,179.68 = 823.39/x
  3. Step 3: Cross multiply
    2,121.01x = 3,179.68 × 823.39
  4. Step 4: Simplify right side
    2,121.01x = 2,618,116.72
  5. Step 5: Solve for x
    x = 2,618,116.72/2,121.01
  6. Step 6: Final answer
    x = 1,234.37

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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.