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Finding the Fourth Proportional to 13,611.85, 18,786.41 and 8,309.75

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Solution

The fourth proportional to 13,611.85, 18,786.41 and 8,309.75 is: 11,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.85 : 18,786.41 = 8,309.75 : x
  2. Step 2: Convert to fraction form
    13,611.85/18,786.41 = 8,309.75/x
  3. Step 3: Cross multiply
    13,611.85x = 18,786.41 × 8,309.75
  4. Step 4: Simplify right side
    13,611.85x = 156,110,370.50
  5. Step 5: Solve for x
    x = 156,110,370.50/13,611.85
  6. Step 6: Final answer
    x = 11,468.71

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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.