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Finding the Fourth Proportional to 8,112, 12,168.11 and 3,183.96

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Solution

The fourth proportional to 8,112, 12,168.11 and 3,183.96 is: 4,775.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112 : 12,168.11 = 3,183.96 : x
  2. Step 2: Convert to fraction form
    8,112/12,168.11 = 3,183.96/x
  3. Step 3: Cross multiply
    8,112x = 12,168.11 × 3,183.96
  4. Step 4: Simplify right side
    8,112x = 38,742,775.52
  5. Step 5: Solve for x
    x = 38,742,775.52/8,112
  6. Step 6: Final answer
    x = 4,775.98

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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.