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Finding the Fourth Proportional to 1,912.57, 2,869.31 and 937.54

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Solution

The fourth proportional to 1,912.57, 2,869.31 and 937.54 is: 1,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.57 : 2,869.31 = 937.54 : x
  2. Step 2: Convert to fraction form
    1,912.57/2,869.31 = 937.54/x
  3. Step 3: Cross multiply
    1,912.57x = 2,869.31 × 937.54
  4. Step 4: Simplify right side
    1,912.57x = 2,690,092.90
  5. Step 5: Solve for x
    x = 2,690,092.90/1,912.57
  6. Step 6: Final answer
    x = 1,406.53

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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.