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Finding the Fourth Proportional to 12,286.49, 18,421.02 and 6,742.44

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Solution

The fourth proportional to 12,286.49, 18,421.02 and 6,742.44 is: 10,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.49 : 18,421.02 = 6,742.44 : x
  2. Step 2: Convert to fraction form
    12,286.49/18,421.02 = 6,742.44/x
  3. Step 3: Cross multiply
    12,286.49x = 18,421.02 × 6,742.44
  4. Step 4: Simplify right side
    12,286.49x = 124,202,622.09
  5. Step 5: Solve for x
    x = 124,202,622.09/12,286.49
  6. Step 6: Final answer
    x = 10,108.88

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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.