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Finding the Fourth Proportional to 13,201.14, 18,217.32 and 7,232.79

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Solution

The fourth proportional to 13,201.14, 18,217.32 and 7,232.79 is: 9,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.14 : 18,217.32 = 7,232.79 : x
  2. Step 2: Convert to fraction form
    13,201.14/18,217.32 = 7,232.79/x
  3. Step 3: Cross multiply
    13,201.14x = 18,217.32 × 7,232.79
  4. Step 4: Simplify right side
    13,201.14x = 131,762,049.92
  5. Step 5: Solve for x
    x = 131,762,049.92/13,201.14
  6. Step 6: Final answer
    x = 9,981.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.