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Finding the Fourth Proportional to 5,380.63, 7,424.87 and 3,022.31

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Solution

The fourth proportional to 5,380.63, 7,424.87 and 3,022.31 is: 4,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.63 : 7,424.87 = 3,022.31 : x
  2. Step 2: Convert to fraction form
    5,380.63/7,424.87 = 3,022.31/x
  3. Step 3: Cross multiply
    5,380.63x = 7,424.87 × 3,022.31
  4. Step 4: Simplify right side
    5,380.63x = 22,440,262.30
  5. Step 5: Solve for x
    x = 22,440,262.30/5,380.63
  6. Step 6: Final answer
    x = 4,170.57

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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.