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Finding the Fourth Proportional to 13,906.56, 20,890.56 and 10,834.56

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Solution

The fourth proportional to 13,906.56, 20,890.56 and 10,834.56 is: 16,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.56 : 20,890.56 = 10,834.56 : x
  2. Step 2: Convert to fraction form
    13,906.56/20,890.56 = 10,834.56/x
  3. Step 3: Cross multiply
    13,906.56x = 20,890.56 × 10,834.56
  4. Step 4: Simplify right side
    13,906.56x = 226,340,025.75
  5. Step 5: Solve for x
    x = 226,340,025.75/13,906.56
  6. Step 6: Final answer
    x = 16,275.77

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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.