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Finding the Fourth Proportional to 12,203.94, 16,855.27 and 8,218.12

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Solution

The fourth proportional to 12,203.94, 16,855.27 and 8,218.12 is: 11,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.94 : 16,855.27 = 8,218.12 : x
  2. Step 2: Convert to fraction form
    12,203.94/16,855.27 = 8,218.12/x
  3. Step 3: Cross multiply
    12,203.94x = 16,855.27 × 8,218.12
  4. Step 4: Simplify right side
    12,203.94x = 138,518,631.49
  5. Step 5: Solve for x
    x = 138,518,631.49/12,203.94
  6. Step 6: Final answer
    x = 11,350.32

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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.