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Finding the Fourth Proportional to 13,910.14, 20,858.73 and 8,068.42

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Solution

The fourth proportional to 13,910.14, 20,858.73 and 8,068.42 is: 12,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.14 : 20,858.73 = 8,068.42 : x
  2. Step 2: Convert to fraction form
    13,910.14/20,858.73 = 8,068.42/x
  3. Step 3: Cross multiply
    13,910.14x = 20,858.73 × 8,068.42
  4. Step 4: Simplify right side
    13,910.14x = 168,296,994.31
  5. Step 5: Solve for x
    x = 168,296,994.31/13,910.14
  6. Step 6: Final answer
    x = 12,098.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.