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Finding the Fourth Proportional to 12,202.88, 16,853.80 and 8,217.06

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Solution

The fourth proportional to 12,202.88, 16,853.80 and 8,217.06 is: 11,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.88 : 16,853.80 = 8,217.06 : x
  2. Step 2: Convert to fraction form
    12,202.88/16,853.80 = 8,217.06/x
  3. Step 3: Cross multiply
    12,202.88x = 16,853.80 × 8,217.06
  4. Step 4: Simplify right side
    12,202.88x = 138,488,685.83
  5. Step 5: Solve for x
    x = 138,488,685.83/12,202.88
  6. Step 6: Final answer
    x = 11,348.85

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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.