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Finding the Fourth Proportional to 3,194.64, 4,791.58 and 854.82

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Solution

The fourth proportional to 3,194.64, 4,791.58 and 854.82 is: 1,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.64 : 4,791.58 = 854.82 : x
  2. Step 2: Convert to fraction form
    3,194.64/4,791.58 = 854.82/x
  3. Step 3: Cross multiply
    3,194.64x = 4,791.58 × 854.82
  4. Step 4: Simplify right side
    3,194.64x = 4,095,938.42
  5. Step 5: Solve for x
    x = 4,095,938.42/3,194.64
  6. Step 6: Final answer
    x = 1,282.13

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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.