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Finding the Fourth Proportional to 3,889.43, 5,834.99 and 1,257.09

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Solution

The fourth proportional to 3,889.43, 5,834.99 and 1,257.09 is: 1,885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.43 : 5,834.99 = 1,257.09 : x
  2. Step 2: Convert to fraction form
    3,889.43/5,834.99 = 1,257.09/x
  3. Step 3: Cross multiply
    3,889.43x = 5,834.99 × 1,257.09
  4. Step 4: Simplify right side
    3,889.43x = 7,335,107.58
  5. Step 5: Solve for x
    x = 7,335,107.58/3,889.43
  6. Step 6: Final answer
    x = 1,885.91

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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.