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Finding the Fourth Proportional to 12,210, 18,313.72 and 8,286.44

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Solution

The fourth proportional to 12,210, 18,313.72 and 8,286.44 is: 12,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210 : 18,313.72 = 8,286.44 : x
  2. Step 2: Convert to fraction form
    12,210/18,313.72 = 8,286.44/x
  3. Step 3: Cross multiply
    12,210x = 18,313.72 × 8,286.44
  4. Step 4: Simplify right side
    12,210x = 151,755,541.96
  5. Step 5: Solve for x
    x = 151,755,541.96/12,210
  6. Step 6: Final answer
    x = 12,428.79

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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.