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Finding the Fourth Proportional to 18,150, 27,225 and 5,838

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Solution

The fourth proportional to 18,150, 27,225 and 5,838 is: 8,757

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,150 : 27,225 = 5,838 : x
  2. Step 2: Convert to fraction form
    18,150/27,225 = 5,838/x
  3. Step 3: Cross multiply
    18,150x = 27,225 × 5,838
  4. Step 4: Simplify right side
    18,150x = 158,939,550
  5. Step 5: Solve for x
    x = 158,939,550/18,150
  6. Step 6: Final answer
    x = 8,757

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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.