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Finding the Fourth Proportional to 18,537, 27,806.69 and 7,442.22

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Solution

The fourth proportional to 18,537, 27,806.69 and 7,442.22 is: 11,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537 : 27,806.69 = 7,442.22 : x
  2. Step 2: Convert to fraction form
    18,537/27,806.69 = 7,442.22/x
  3. Step 3: Cross multiply
    18,537x = 27,806.69 × 7,442.22
  4. Step 4: Simplify right side
    18,537x = 206,943,467.24
  5. Step 5: Solve for x
    x = 206,943,467.24/18,537
  6. Step 6: Final answer
    x = 11,163.81

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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.