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Finding the Fourth Proportional to 11,274.52, 16,917.54 and 8,221.72

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Solution

The fourth proportional to 11,274.52, 16,917.54 and 8,221.72 is: 12,336.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.52 : 16,917.54 = 8,221.72 : x
  2. Step 2: Convert to fraction form
    11,274.52/16,917.54 = 8,221.72/x
  3. Step 3: Cross multiply
    11,274.52x = 16,917.54 × 8,221.72
  4. Step 4: Simplify right side
    11,274.52x = 139,091,276.97
  5. Step 5: Solve for x
    x = 139,091,276.97/11,274.52
  6. Step 6: Final answer
    x = 12,336.78

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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.