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Finding the Fourth Proportional to 18,654.85, 27,982.31 and 7,561.77

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Solution

The fourth proportional to 18,654.85, 27,982.31 and 7,561.77 is: 11,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,654.85 : 27,982.31 = 7,561.77 : x
  2. Step 2: Convert to fraction form
    18,654.85/27,982.31 = 7,561.77/x
  3. Step 3: Cross multiply
    18,654.85x = 27,982.31 × 7,561.77
  4. Step 4: Simplify right side
    18,654.85x = 211,595,614.57
  5. Step 5: Solve for x
    x = 211,595,614.57/18,654.85
  6. Step 6: Final answer
    x = 11,342.66

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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.