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Finding the Fourth Proportional to 7,204.50, 9,942.21 and 3,892.50

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Solution

The fourth proportional to 7,204.50, 9,942.21 and 3,892.50 is: 5,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.50 : 9,942.21 = 3,892.50 : x
  2. Step 2: Convert to fraction form
    7,204.50/9,942.21 = 3,892.50/x
  3. Step 3: Cross multiply
    7,204.50x = 9,942.21 × 3,892.50
  4. Step 4: Simplify right side
    7,204.50x = 38,700,052.43
  5. Step 5: Solve for x
    x = 38,700,052.43/7,204.50
  6. Step 6: Final answer
    x = 5,371.65

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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.