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Finding the Fourth Proportional to 3,889.92, 5,836 and 1,294.56

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Solution

The fourth proportional to 3,889.92, 5,836 and 1,294.56 is: 1,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.92 : 5,836 = 1,294.56 : x
  2. Step 2: Convert to fraction form
    3,889.92/5,836 = 1,294.56/x
  3. Step 3: Cross multiply
    3,889.92x = 5,836 × 1,294.56
  4. Step 4: Simplify right side
    3,889.92x = 7,555,052.16
  5. Step 5: Solve for x
    x = 7,555,052.16/3,889.92
  6. Step 6: Final answer
    x = 1,942.21

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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.