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Finding the Fourth Proportional to 18,142.92, 27,224.88 and 7,612

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Solution

The fourth proportional to 18,142.92, 27,224.88 and 7,612 is: 11,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.92 : 27,224.88 = 7,612 : x
  2. Step 2: Convert to fraction form
    18,142.92/27,224.88 = 7,612/x
  3. Step 3: Cross multiply
    18,142.92x = 27,224.88 × 7,612
  4. Step 4: Simplify right side
    18,142.92x = 207,235,786.56
  5. Step 5: Solve for x
    x = 207,235,786.56/18,142.92
  6. Step 6: Final answer
    x = 11,422.41

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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.