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Finding the Fourth Proportional to 18,514, 27,768.96 and 4,663

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Solution

The fourth proportional to 18,514, 27,768.96 and 4,663 is: 6,993.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514 : 27,768.96 = 4,663 : x
  2. Step 2: Convert to fraction form
    18,514/27,768.96 = 4,663/x
  3. Step 3: Cross multiply
    18,514x = 27,768.96 × 4,663
  4. Step 4: Simplify right side
    18,514x = 129,486,660.48
  5. Step 5: Solve for x
    x = 129,486,660.48/18,514
  6. Step 6: Final answer
    x = 6,993.99

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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.