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Finding the Fourth Proportional to 3,193.91, 4,791.09 and 853.87

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Solution

The fourth proportional to 3,193.91, 4,791.09 and 853.87 is: 1,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.91 : 4,791.09 = 853.87 : x
  2. Step 2: Convert to fraction form
    3,193.91/4,791.09 = 853.87/x
  3. Step 3: Cross multiply
    3,193.91x = 4,791.09 × 853.87
  4. Step 4: Simplify right side
    3,193.91x = 4,090,944.06
  5. Step 5: Solve for x
    x = 4,090,944.06/3,193.91
  6. Step 6: Final answer
    x = 1,280.86

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1.5x scale

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.