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Finding the Fourth Proportional to 13,679.44, 18,909.50 and 12,202

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Solution

The fourth proportional to 13,679.44, 18,909.50 and 12,202 is: 16,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.44 : 18,909.50 = 12,202 : x
  2. Step 2: Convert to fraction form
    13,679.44/18,909.50 = 12,202/x
  3. Step 3: Cross multiply
    13,679.44x = 18,909.50 × 12,202
  4. Step 4: Simplify right side
    13,679.44x = 230,733,719
  5. Step 5: Solve for x
    x = 230,733,719/13,679.44
  6. Step 6: Final answer
    x = 16,867.19

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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.