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Finding the Fourth Proportional to 7,205.48, 9,942.85 and 5,318.08

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Solution

The fourth proportional to 7,205.48, 9,942.85 and 5,318.08 is: 7,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.48 : 9,942.85 = 5,318.08 : x
  2. Step 2: Convert to fraction form
    7,205.48/9,942.85 = 5,318.08/x
  3. Step 3: Cross multiply
    7,205.48x = 9,942.85 × 5,318.08
  4. Step 4: Simplify right side
    7,205.48x = 52,876,871.73
  5. Step 5: Solve for x
    x = 52,876,871.73/7,205.48
  6. Step 6: Final answer
    x = 7,338.42

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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.