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Finding the Fourth Proportional to 11,023.92, 16,542 and 10,188

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Solution

The fourth proportional to 11,023.92, 16,542 and 10,188 is: 15,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.92 : 16,542 = 10,188 : x
  2. Step 2: Convert to fraction form
    11,023.92/16,542 = 10,188/x
  3. Step 3: Cross multiply
    11,023.92x = 16,542 × 10,188
  4. Step 4: Simplify right side
    11,023.92x = 168,529,896
  5. Step 5: Solve for x
    x = 168,529,896/11,023.92
  6. Step 6: Final answer
    x = 15,287.66

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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.