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Finding the Fourth Proportional to 7,697.82, 10,622.96 and 4,161.03

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Solution

The fourth proportional to 7,697.82, 10,622.96 and 4,161.03 is: 5,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.82 : 10,622.96 = 4,161.03 : x
  2. Step 2: Convert to fraction form
    7,697.82/10,622.96 = 4,161.03/x
  3. Step 3: Cross multiply
    7,697.82x = 10,622.96 × 4,161.03
  4. Step 4: Simplify right side
    7,697.82x = 44,202,455.25
  5. Step 5: Solve for x
    x = 44,202,455.25/7,697.82
  6. Step 6: Final answer
    x = 5,742.20

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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.