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Finding the Fourth Proportional to 7,198.54, 9,933.30 and 5,311.17

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Solution

The fourth proportional to 7,198.54, 9,933.30 and 5,311.17 is: 7,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.54 : 9,933.30 = 5,311.17 : x
  2. Step 2: Convert to fraction form
    7,198.54/9,933.30 = 5,311.17/x
  3. Step 3: Cross multiply
    7,198.54x = 9,933.30 × 5,311.17
  4. Step 4: Simplify right side
    7,198.54x = 52,757,444.96
  5. Step 5: Solve for x
    x = 52,757,444.96/7,198.54
  6. Step 6: Final answer
    x = 7,328.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.