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Finding the Fourth Proportional to 5,226.92, 7,835.36 and 1,939.14

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Solution

The fourth proportional to 5,226.92, 7,835.36 and 1,939.14 is: 2,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.92 : 7,835.36 = 1,939.14 : x
  2. Step 2: Convert to fraction form
    5,226.92/7,835.36 = 1,939.14/x
  3. Step 3: Cross multiply
    5,226.92x = 7,835.36 × 1,939.14
  4. Step 4: Simplify right side
    5,226.92x = 15,193,859.99
  5. Step 5: Solve for x
    x = 15,193,859.99/5,226.92
  6. Step 6: Final answer
    x = 2,906.85

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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.