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Finding the Fourth Proportional to 8,274.36, 12,409.44 and 3,342.54

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Solution

The fourth proportional to 8,274.36, 12,409.44 and 3,342.54 is: 5,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.36 : 12,409.44 = 3,342.54 : x
  2. Step 2: Convert to fraction form
    8,274.36/12,409.44 = 3,342.54/x
  3. Step 3: Cross multiply
    8,274.36x = 12,409.44 × 3,342.54
  4. Step 4: Simplify right side
    8,274.36x = 41,479,049.58
  5. Step 5: Solve for x
    x = 41,479,049.58/8,274.36
  6. Step 6: Final answer
    x = 5,012.96

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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.