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Finding the Fourth Proportional to 2,081.73, 3,122.38 and 620.90

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Solution

The fourth proportional to 2,081.73, 3,122.38 and 620.90 is: 931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.73 : 3,122.38 = 620.90 : x
  2. Step 2: Convert to fraction form
    2,081.73/3,122.38 = 620.90/x
  3. Step 3: Cross multiply
    2,081.73x = 3,122.38 × 620.90
  4. Step 4: Simplify right side
    2,081.73x = 1,938,685.74
  5. Step 5: Solve for x
    x = 1,938,685.74/2,081.73
  6. Step 6: Final answer
    x = 931.29

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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.