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Finding the Fourth Proportional to 18,786, 28,183.68 and 7,099.28

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Solution

The fourth proportional to 18,786, 28,183.68 and 7,099.28 is: 10,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,786 : 28,183.68 = 7,099.28 : x
  2. Step 2: Convert to fraction form
    18,786/28,183.68 = 7,099.28/x
  3. Step 3: Cross multiply
    18,786x = 28,183.68 × 7,099.28
  4. Step 4: Simplify right side
    18,786x = 200,083,835.75
  5. Step 5: Solve for x
    x = 200,083,835.75/18,786
  6. Step 6: Final answer
    x = 10,650.69

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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.