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Finding the Fourth Proportional to 1,912.44, 2,849.44 and 1,786.71

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Solution

The fourth proportional to 1,912.44, 2,849.44 and 1,786.71 is: 2,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.44 : 2,849.44 = 1,786.71 : x
  2. Step 2: Convert to fraction form
    1,912.44/2,849.44 = 1,786.71/x
  3. Step 3: Cross multiply
    1,912.44x = 2,849.44 × 1,786.71
  4. Step 4: Simplify right side
    1,912.44x = 5,091,118.48
  5. Step 5: Solve for x
    x = 5,091,118.48/1,912.44
  6. Step 6: Final answer
    x = 2,662.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.