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Finding the Fourth Proportional to 12,209.18, 16,843.88 and 7,965.22

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Solution

The fourth proportional to 12,209.18, 16,843.88 and 7,965.22 is: 10,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.18 : 16,843.88 = 7,965.22 : x
  2. Step 2: Convert to fraction form
    12,209.18/16,843.88 = 7,965.22/x
  3. Step 3: Cross multiply
    12,209.18x = 16,843.88 × 7,965.22
  4. Step 4: Simplify right side
    12,209.18x = 134,165,209.85
  5. Step 5: Solve for x
    x = 134,165,209.85/12,209.18
  6. Step 6: Final answer
    x = 10,988.88

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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.