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Finding the Fourth Proportional to 11,238.70, 16,844.92 and 8,456.44

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Solution

The fourth proportional to 11,238.70, 16,844.92 and 8,456.44 is: 12,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.70 : 16,844.92 = 8,456.44 : x
  2. Step 2: Convert to fraction form
    11,238.70/16,844.92 = 8,456.44/x
  3. Step 3: Cross multiply
    11,238.70x = 16,844.92 × 8,456.44
  4. Step 4: Simplify right side
    11,238.70x = 142,448,055.28
  5. Step 5: Solve for x
    x = 142,448,055.28/11,238.70
  6. Step 6: Final answer
    x = 12,674.78

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1.5x scale

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.