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Finding the Fourth Proportional to 3,257.14, 4,885.72 and 791.94

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Solution

The fourth proportional to 3,257.14, 4,885.72 and 791.94 is: 1,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.14 : 4,885.72 = 791.94 : x
  2. Step 2: Convert to fraction form
    3,257.14/4,885.72 = 791.94/x
  3. Step 3: Cross multiply
    3,257.14x = 4,885.72 × 791.94
  4. Step 4: Simplify right side
    3,257.14x = 3,869,197.10
  5. Step 5: Solve for x
    x = 3,869,197.10/3,257.14
  6. Step 6: Final answer
    x = 1,187.91

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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.