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Finding the Fourth Proportional to 13,611.68, 20,390.19 and 6,205.95

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Solution

The fourth proportional to 13,611.68, 20,390.19 and 6,205.95 is: 9,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.68 : 20,390.19 = 6,205.95 : x
  2. Step 2: Convert to fraction form
    13,611.68/20,390.19 = 6,205.95/x
  3. Step 3: Cross multiply
    13,611.68x = 20,390.19 × 6,205.95
  4. Step 4: Simplify right side
    13,611.68x = 126,540,566.74
  5. Step 5: Solve for x
    x = 126,540,566.74/13,611.68
  6. Step 6: Final answer
    x = 9,296.47

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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.