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Finding the Fourth Proportional to 12,202.94, 16,853.88 and 8,217.13

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Solution

The fourth proportional to 12,202.94, 16,853.88 and 8,217.13 is: 11,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.94 : 16,853.88 = 8,217.13 : x
  2. Step 2: Convert to fraction form
    12,202.94/16,853.88 = 8,217.13/x
  3. Step 3: Cross multiply
    12,202.94x = 16,853.88 × 8,217.13
  4. Step 4: Simplify right side
    12,202.94x = 138,490,522.96
  5. Step 5: Solve for x
    x = 138,490,522.96/12,202.94
  6. Step 6: Final answer
    x = 11,348.95

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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.