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Finding the Fourth Proportional to 8,213.91, 12,313.47 and 2,947.68

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Solution

The fourth proportional to 8,213.91, 12,313.47 and 2,947.68 is: 4,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.91 : 12,313.47 = 2,947.68 : x
  2. Step 2: Convert to fraction form
    8,213.91/12,313.47 = 2,947.68/x
  3. Step 3: Cross multiply
    8,213.91x = 12,313.47 × 2,947.68
  4. Step 4: Simplify right side
    8,213.91x = 36,296,180.30
  5. Step 5: Solve for x
    x = 36,296,180.30/8,213.91
  6. Step 6: Final answer
    x = 4,418.87

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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.