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Finding the Fourth Proportional to 8,214.94, 12,326.55 and 3,286

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Solution

The fourth proportional to 8,214.94, 12,326.55 and 3,286 is: 4,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.94 : 12,326.55 = 3,286 : x
  2. Step 2: Convert to fraction form
    8,214.94/12,326.55 = 3,286/x
  3. Step 3: Cross multiply
    8,214.94x = 12,326.55 × 3,286
  4. Step 4: Simplify right side
    8,214.94x = 40,505,043.30
  5. Step 5: Solve for x
    x = 40,505,043.30/8,214.94
  6. Step 6: Final answer
    x = 4,930.66

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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.