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Finding the Fourth Proportional to 12,209.88, 18,286.34 and 8,914.80

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Solution

The fourth proportional to 12,209.88, 18,286.34 and 8,914.80 is: 13,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.88 : 18,286.34 = 8,914.80 : x
  2. Step 2: Convert to fraction form
    12,209.88/18,286.34 = 8,914.80/x
  3. Step 3: Cross multiply
    12,209.88x = 18,286.34 × 8,914.80
  4. Step 4: Simplify right side
    12,209.88x = 163,019,019.26
  5. Step 5: Solve for x
    x = 163,019,019.26/12,209.88
  6. Step 6: Final answer
    x = 13,351.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.