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Finding the Fourth Proportional to 18,120.92, 27,181.02 and 10,313

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Solution

The fourth proportional to 18,120.92, 27,181.02 and 10,313 is: 15,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,120.92 : 27,181.02 = 10,313 : x
  2. Step 2: Convert to fraction form
    18,120.92/27,181.02 = 10,313/x
  3. Step 3: Cross multiply
    18,120.92x = 27,181.02 × 10,313
  4. Step 4: Simplify right side
    18,120.92x = 280,317,859.26
  5. Step 5: Solve for x
    x = 280,317,859.26/18,120.92
  6. Step 6: Final answer
    x = 15,469.30

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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.