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Finding the Fourth Proportional to 7,163.84, 9,885.24 and 4,179.32

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Solution

The fourth proportional to 7,163.84, 9,885.24 and 4,179.32 is: 5,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.84 : 9,885.24 = 4,179.32 : x
  2. Step 2: Convert to fraction form
    7,163.84/9,885.24 = 4,179.32/x
  3. Step 3: Cross multiply
    7,163.84x = 9,885.24 × 4,179.32
  4. Step 4: Simplify right side
    7,163.84x = 41,313,581.24
  5. Step 5: Solve for x
    x = 41,313,581.24/7,163.84
  6. Step 6: Final answer
    x = 5,766.96

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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.