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Finding the Fourth Proportional to 18,269.67, 27,407.36 and 7,739.72

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Solution

The fourth proportional to 18,269.67, 27,407.36 and 7,739.72 is: 11,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,269.67 : 27,407.36 = 7,739.72 : x
  2. Step 2: Convert to fraction form
    18,269.67/27,407.36 = 7,739.72/x
  3. Step 3: Cross multiply
    18,269.67x = 27,407.36 × 7,739.72
  4. Step 4: Simplify right side
    18,269.67x = 212,125,174.65
  5. Step 5: Solve for x
    x = 212,125,174.65/18,269.67
  6. Step 6: Final answer
    x = 11,610.78

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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.