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Finding the Fourth Proportional to 12,800.86, 17,672.16 and 8,843.28

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Solution

The fourth proportional to 12,800.86, 17,672.16 and 8,843.28 is: 12,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.86 : 17,672.16 = 8,843.28 : x
  2. Step 2: Convert to fraction form
    12,800.86/17,672.16 = 8,843.28/x
  3. Step 3: Cross multiply
    12,800.86x = 17,672.16 × 8,843.28
  4. Step 4: Simplify right side
    12,800.86x = 156,279,859.08
  5. Step 5: Solve for x
    x = 156,279,859.08/12,800.86
  6. Step 6: Final answer
    x = 12,208.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.