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Finding the Fourth Proportional to 12,197.72, 18,299.12 and 6,935.15

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Solution

The fourth proportional to 12,197.72, 18,299.12 and 6,935.15 is: 10,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.72 : 18,299.12 = 6,935.15 : x
  2. Step 2: Convert to fraction form
    12,197.72/18,299.12 = 6,935.15/x
  3. Step 3: Cross multiply
    12,197.72x = 18,299.12 × 6,935.15
  4. Step 4: Simplify right side
    12,197.72x = 126,907,153.14
  5. Step 5: Solve for x
    x = 126,907,153.14/12,197.72
  6. Step 6: Final answer
    x = 10,404.17

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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.