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Finding the Fourth Proportional to 7,098.27, 9,795.61 and 4,115.84

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Solution

The fourth proportional to 7,098.27, 9,795.61 and 4,115.84 is: 5,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.27 : 9,795.61 = 4,115.84 : x
  2. Step 2: Convert to fraction form
    7,098.27/9,795.61 = 4,115.84/x
  3. Step 3: Cross multiply
    7,098.27x = 9,795.61 × 4,115.84
  4. Step 4: Simplify right side
    7,098.27x = 40,317,163.46
  5. Step 5: Solve for x
    x = 40,317,163.46/7,098.27
  6. Step 6: Final answer
    x = 5,679.86

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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.