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Finding the Fourth Proportional to 18,013, 27,049.38 and 11,131.24

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Solution

The fourth proportional to 18,013, 27,049.38 and 11,131.24 is: 16,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,013 : 27,049.38 = 11,131.24 : x
  2. Step 2: Convert to fraction form
    18,013/27,049.38 = 11,131.24/x
  3. Step 3: Cross multiply
    18,013x = 27,049.38 × 11,131.24
  4. Step 4: Simplify right side
    18,013x = 301,093,140.63
  5. Step 5: Solve for x
    x = 301,093,140.63/18,013
  6. Step 6: Final answer
    x = 16,715.32

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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.