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Finding the Fourth Proportional to 2,672.12, 4,008.39 and 823.23

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Solution

The fourth proportional to 2,672.12, 4,008.39 and 823.23 is: 1,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.12 : 4,008.39 = 823.23 : x
  2. Step 2: Convert to fraction form
    2,672.12/4,008.39 = 823.23/x
  3. Step 3: Cross multiply
    2,672.12x = 4,008.39 × 823.23
  4. Step 4: Simplify right side
    2,672.12x = 3,299,826.90
  5. Step 5: Solve for x
    x = 3,299,826.90/2,672.12
  6. Step 6: Final answer
    x = 1,234.91

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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.