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Finding the Fourth Proportional to 7,178.46, 9,906.18 and 4,383.96

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Solution

The fourth proportional to 7,178.46, 9,906.18 and 4,383.96 is: 6,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.46 : 9,906.18 = 4,383.96 : x
  2. Step 2: Convert to fraction form
    7,178.46/9,906.18 = 4,383.96/x
  3. Step 3: Cross multiply
    7,178.46x = 9,906.18 × 4,383.96
  4. Step 4: Simplify right side
    7,178.46x = 43,428,296.87
  5. Step 5: Solve for x
    x = 43,428,296.87/7,178.46
  6. Step 6: Final answer
    x = 6,049.81

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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.