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Finding the Fourth Proportional to 2,081.36, 3,121.98 and 620.52

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Solution

The fourth proportional to 2,081.36, 3,121.98 and 620.52 is: 930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.36 : 3,121.98 = 620.52 : x
  2. Step 2: Convert to fraction form
    2,081.36/3,121.98 = 620.52/x
  3. Step 3: Cross multiply
    2,081.36x = 3,121.98 × 620.52
  4. Step 4: Simplify right side
    2,081.36x = 1,937,251.03
  5. Step 5: Solve for x
    x = 1,937,251.03/2,081.36
  6. Step 6: Final answer
    x = 930.76

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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.