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Finding the Fourth Proportional to 8,189.24, 12,289.12 and 8,159

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Solution

The fourth proportional to 8,189.24, 12,289.12 and 8,159 is: 12,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.24 : 12,289.12 = 8,159 : x
  2. Step 2: Convert to fraction form
    8,189.24/12,289.12 = 8,159/x
  3. Step 3: Cross multiply
    8,189.24x = 12,289.12 × 8,159
  4. Step 4: Simplify right side
    8,189.24x = 100,266,930.08
  5. Step 5: Solve for x
    x = 100,266,930.08/8,189.24
  6. Step 6: Final answer
    x = 12,243.74

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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.