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Finding the Fourth Proportional to 3,866.25, 5,791.70 and 1,912.49

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Solution

The fourth proportional to 3,866.25, 5,791.70 and 1,912.49 is: 2,864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.25 : 5,791.70 = 1,912.49 : x
  2. Step 2: Convert to fraction form
    3,866.25/5,791.70 = 1,912.49/x
  3. Step 3: Cross multiply
    3,866.25x = 5,791.70 × 1,912.49
  4. Step 4: Simplify right side
    3,866.25x = 11,076,558.77
  5. Step 5: Solve for x
    x = 11,076,558.77/3,866.25
  6. Step 6: Final answer
    x = 2,864.94

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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.