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Finding the Fourth Proportional to 5,285.19, 7,911.99 and 3,198.90

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Solution

The fourth proportional to 5,285.19, 7,911.99 and 3,198.90 is: 4,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.19 : 7,911.99 = 3,198.90 : x
  2. Step 2: Convert to fraction form
    5,285.19/7,911.99 = 3,198.90/x
  3. Step 3: Cross multiply
    5,285.19x = 7,911.99 × 3,198.90
  4. Step 4: Simplify right side
    5,285.19x = 25,309,664.81
  5. Step 5: Solve for x
    x = 25,309,664.81/5,285.19
  6. Step 6: Final answer
    x = 4,788.79

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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.