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Finding the Fourth Proportional to 3,940.84, 5,912.95 and 1,475.34

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Solution

The fourth proportional to 3,940.84, 5,912.95 and 1,475.34 is: 2,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.84 : 5,912.95 = 1,475.34 : x
  2. Step 2: Convert to fraction form
    3,940.84/5,912.95 = 1,475.34/x
  3. Step 3: Cross multiply
    3,940.84x = 5,912.95 × 1,475.34
  4. Step 4: Simplify right side
    3,940.84x = 8,723,604.28
  5. Step 5: Solve for x
    x = 8,723,604.28/3,940.84
  6. Step 6: Final answer
    x = 2,213.64

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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.