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Finding the Fourth Proportional to 8,212.68, 12,319.20 and 3,828.96

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Solution

The fourth proportional to 8,212.68, 12,319.20 and 3,828.96 is: 5,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.68 : 12,319.20 = 3,828.96 : x
  2. Step 2: Convert to fraction form
    8,212.68/12,319.20 = 3,828.96/x
  3. Step 3: Cross multiply
    8,212.68x = 12,319.20 × 3,828.96
  4. Step 4: Simplify right side
    8,212.68x = 47,169,724.03
  5. Step 5: Solve for x
    x = 47,169,724.03/8,212.68
  6. Step 6: Final answer
    x = 5,743.52

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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.