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Finding the Fourth Proportional to 2,912.75, 4,369.41 and 937.88

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Solution

The fourth proportional to 2,912.75, 4,369.41 and 937.88 is: 1,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.75 : 4,369.41 = 937.88 : x
  2. Step 2: Convert to fraction form
    2,912.75/4,369.41 = 937.88/x
  3. Step 3: Cross multiply
    2,912.75x = 4,369.41 × 937.88
  4. Step 4: Simplify right side
    2,912.75x = 4,097,982.25
  5. Step 5: Solve for x
    x = 4,097,982.25/2,912.75
  6. Step 6: Final answer
    x = 1,406.91

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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.