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Finding the Fourth Proportional to 13,913.97, 19,202.27 and 8,611.85

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Solution

The fourth proportional to 13,913.97, 19,202.27 and 8,611.85 is: 11,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.97 : 19,202.27 = 8,611.85 : x
  2. Step 2: Convert to fraction form
    13,913.97/19,202.27 = 8,611.85/x
  3. Step 3: Cross multiply
    13,913.97x = 19,202.27 × 8,611.85
  4. Step 4: Simplify right side
    13,913.97x = 165,366,929.83
  5. Step 5: Solve for x
    x = 165,366,929.83/13,913.97
  6. Step 6: Final answer
    x = 11,884.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.