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Finding the Fourth Proportional to 8,203.92, 12,299.92 and 3,272.08

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Solution

The fourth proportional to 8,203.92, 12,299.92 and 3,272.08 is: 4,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.92 : 12,299.92 = 3,272.08 : x
  2. Step 2: Convert to fraction form
    8,203.92/12,299.92 = 3,272.08/x
  3. Step 3: Cross multiply
    8,203.92x = 12,299.92 × 3,272.08
  4. Step 4: Simplify right side
    8,203.92x = 40,246,322.23
  5. Step 5: Solve for x
    x = 40,246,322.23/8,203.92
  6. Step 6: Final answer
    x = 4,905.74

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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.