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Finding the Fourth Proportional to 2,050.72, 3,078.24 and 1,912.48

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Solution

The fourth proportional to 2,050.72, 3,078.24 and 1,912.48 is: 2,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.72 : 3,078.24 = 1,912.48 : x
  2. Step 2: Convert to fraction form
    2,050.72/3,078.24 = 1,912.48/x
  3. Step 3: Cross multiply
    2,050.72x = 3,078.24 × 1,912.48
  4. Step 4: Simplify right side
    2,050.72x = 5,887,072.44
  5. Step 5: Solve for x
    x = 5,887,072.44/2,050.72
  6. Step 6: Final answer
    x = 2,870.73

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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.