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Finding the Fourth Proportional to 13,611.89, 18,786.49 and 8,309.81

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Solution

The fourth proportional to 13,611.89, 18,786.49 and 8,309.81 is: 11,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.89 : 18,786.49 = 8,309.81 : x
  2. Step 2: Convert to fraction form
    13,611.89/18,786.49 = 8,309.81/x
  3. Step 3: Cross multiply
    13,611.89x = 18,786.49 × 8,309.81
  4. Step 4: Simplify right side
    13,611.89x = 156,112,047.76
  5. Step 5: Solve for x
    x = 156,112,047.76/13,611.89
  6. Step 6: Final answer
    x = 11,468.80

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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.