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Finding the Fourth Proportional to 7,120.22, 9,825.02 and 3,977

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Solution

The fourth proportional to 7,120.22, 9,825.02 and 3,977 is: 5,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.22 : 9,825.02 = 3,977 : x
  2. Step 2: Convert to fraction form
    7,120.22/9,825.02 = 3,977/x
  3. Step 3: Cross multiply
    7,120.22x = 9,825.02 × 3,977
  4. Step 4: Simplify right side
    7,120.22x = 39,074,104.54
  5. Step 5: Solve for x
    x = 39,074,104.54/7,120.22
  6. Step 6: Final answer
    x = 5,487.77

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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.