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Finding the Fourth Proportional to 12,286.49, 18,426.49 and 3,519.32

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Solution

The fourth proportional to 12,286.49, 18,426.49 and 3,519.32 is: 5,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.49 : 18,426.49 = 3,519.32 : x
  2. Step 2: Convert to fraction form
    12,286.49/18,426.49 = 3,519.32/x
  3. Step 3: Cross multiply
    12,286.49x = 18,426.49 × 3,519.32
  4. Step 4: Simplify right side
    12,286.49x = 64,848,613.86
  5. Step 5: Solve for x
    x = 64,848,613.86/12,286.49
  6. Step 6: Final answer
    x = 5,278.04

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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.