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Finding the Fourth Proportional to 10,813.87, 16,221.57 and 3,793.06

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Solution

The fourth proportional to 10,813.87, 16,221.57 and 3,793.06 is: 5,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.87 : 16,221.57 = 3,793.06 : x
  2. Step 2: Convert to fraction form
    10,813.87/16,221.57 = 3,793.06/x
  3. Step 3: Cross multiply
    10,813.87x = 16,221.57 × 3,793.06
  4. Step 4: Simplify right side
    10,813.87x = 61,529,388.30
  5. Step 5: Solve for x
    x = 61,529,388.30/10,813.87
  6. Step 6: Final answer
    x = 5,689.86

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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.