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Finding the Fourth Proportional to 3,194.68, 4,791.66 and 886

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Solution

The fourth proportional to 3,194.68, 4,791.66 and 886 is: 1,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.68 : 4,791.66 = 886 : x
  2. Step 2: Convert to fraction form
    3,194.68/4,791.66 = 886/x
  3. Step 3: Cross multiply
    3,194.68x = 4,791.66 × 886
  4. Step 4: Simplify right side
    3,194.68x = 4,245,410.76
  5. Step 5: Solve for x
    x = 4,245,410.76/3,194.68
  6. Step 6: Final answer
    x = 1,328.90

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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.