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Finding the Fourth Proportional to 2,080.06, 3,122.32 and 1,850.42

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Solution

The fourth proportional to 2,080.06, 3,122.32 and 1,850.42 is: 2,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.06 : 3,122.32 = 1,850.42 : x
  2. Step 2: Convert to fraction form
    2,080.06/3,122.32 = 1,850.42/x
  3. Step 3: Cross multiply
    2,080.06x = 3,122.32 × 1,850.42
  4. Step 4: Simplify right side
    2,080.06x = 5,777,603.37
  5. Step 5: Solve for x
    x = 5,777,603.37/2,080.06
  6. Step 6: Final answer
    x = 2,777.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.