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Finding the Fourth Proportional to 18,014, 27,009 and 7,481.28

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Solution

The fourth proportional to 18,014, 27,009 and 7,481.28 is: 11,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,014 : 27,009 = 7,481.28 : x
  2. Step 2: Convert to fraction form
    18,014/27,009 = 7,481.28/x
  3. Step 3: Cross multiply
    18,014x = 27,009 × 7,481.28
  4. Step 4: Simplify right side
    18,014x = 202,061,891.52
  5. Step 5: Solve for x
    x = 202,061,891.52/18,014
  6. Step 6: Final answer
    x = 11,216.94

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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.