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Finding the Fourth Proportional to 2,081.44, 3,122.34 and 620.61

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Solution

The fourth proportional to 2,081.44, 3,122.34 and 620.61 is: 930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.44 : 3,122.34 = 620.61 : x
  2. Step 2: Convert to fraction form
    2,081.44/3,122.34 = 620.61/x
  3. Step 3: Cross multiply
    2,081.44x = 3,122.34 × 620.61
  4. Step 4: Simplify right side
    2,081.44x = 1,937,755.43
  5. Step 5: Solve for x
    x = 1,937,755.43/2,081.44
  6. Step 6: Final answer
    x = 930.97

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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.