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Finding the Fourth Proportional to 2,081.45, 3,121.62 and 620.34

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Solution

The fourth proportional to 2,081.45, 3,121.62 and 620.34 is: 930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.45 : 3,121.62 = 620.34 : x
  2. Step 2: Convert to fraction form
    2,081.45/3,121.62 = 620.34/x
  3. Step 3: Cross multiply
    2,081.45x = 3,121.62 × 620.34
  4. Step 4: Simplify right side
    2,081.45x = 1,936,465.75
  5. Step 5: Solve for x
    x = 1,936,465.75/2,081.45
  6. Step 6: Final answer
    x = 930.35

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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.