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Finding the Fourth Proportional to 18,286.62, 27,431.93 and 7,191.82

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Solution

The fourth proportional to 18,286.62, 27,431.93 and 7,191.82 is: 10,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.62 : 27,431.93 = 7,191.82 : x
  2. Step 2: Convert to fraction form
    18,286.62/27,431.93 = 7,191.82/x
  3. Step 3: Cross multiply
    18,286.62x = 27,431.93 × 7,191.82
  4. Step 4: Simplify right side
    18,286.62x = 197,285,502.81
  5. Step 5: Solve for x
    x = 197,285,502.81/18,286.62
  6. Step 6: Final answer
    x = 10,788.52

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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.