Home / 2,672.06-4,007.82-823.23

Finding the Fourth Proportional to 2,672.06, 4,007.82 and 823.23

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Solution

The fourth proportional to 2,672.06, 4,007.82 and 823.23 is: 1,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.06 : 4,007.82 = 823.23 : x
  2. Step 2: Convert to fraction form
    2,672.06/4,007.82 = 823.23/x
  3. Step 3: Cross multiply
    2,672.06x = 4,007.82 × 823.23
  4. Step 4: Simplify right side
    2,672.06x = 3,299,357.66
  5. Step 5: Solve for x
    x = 3,299,357.66/2,672.06
  6. Step 6: Final answer
    x = 1,234.76

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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.