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Finding the Fourth Proportional to 18,661.26, 27,991.30 and 7,564.96

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Solution

The fourth proportional to 18,661.26, 27,991.30 and 7,564.96 is: 11,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.26 : 27,991.30 = 7,564.96 : x
  2. Step 2: Convert to fraction form
    18,661.26/27,991.30 = 7,564.96/x
  3. Step 3: Cross multiply
    18,661.26x = 27,991.30 × 7,564.96
  4. Step 4: Simplify right side
    18,661.26x = 211,753,064.85
  5. Step 5: Solve for x
    x = 211,753,064.85/18,661.26
  6. Step 6: Final answer
    x = 11,347.20

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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.