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Finding the Fourth Proportional to 12,892.20, 17,797.86 and 8,422.44

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Solution

The fourth proportional to 12,892.20, 17,797.86 and 8,422.44 is: 11,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.20 : 17,797.86 = 8,422.44 : x
  2. Step 2: Convert to fraction form
    12,892.20/17,797.86 = 8,422.44/x
  3. Step 3: Cross multiply
    12,892.20x = 17,797.86 × 8,422.44
  4. Step 4: Simplify right side
    12,892.20x = 149,901,407.98
  5. Step 5: Solve for x
    x = 149,901,407.98/12,892.20
  6. Step 6: Final answer
    x = 11,627.29

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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.