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Finding the Fourth Proportional to 3,194.78, 4,791.69 and 854.94

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Solution

The fourth proportional to 3,194.78, 4,791.69 and 854.94 is: 1,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.78 : 4,791.69 = 854.94 : x
  2. Step 2: Convert to fraction form
    3,194.78/4,791.69 = 854.94/x
  3. Step 3: Cross multiply
    3,194.78x = 4,791.69 × 854.94
  4. Step 4: Simplify right side
    3,194.78x = 4,096,607.45
  5. Step 5: Solve for x
    x = 4,096,607.45/3,194.78
  6. Step 6: Final answer
    x = 1,282.28

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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.