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Finding the Fourth Proportional to 8,324.37, 12,491.72 and 3,394.00

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Solution

The fourth proportional to 8,324.37, 12,491.72 and 3,394.00 is: 5,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.37 : 12,491.72 = 3,394.00 : x
  2. Step 2: Convert to fraction form
    8,324.37/12,491.72 = 3,394.00/x
  3. Step 3: Cross multiply
    8,324.37x = 12,491.72 × 3,394.00
  4. Step 4: Simplify right side
    8,324.37x = 42,396,909.05
  5. Step 5: Solve for x
    x = 42,396,909.05/8,324.37
  6. Step 6: Final answer
    x = 5,093.11

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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.