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Finding the Fourth Proportional to 5,471.23, 7,542.43 and 3,896.59

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Solution

The fourth proportional to 5,471.23, 7,542.43 and 3,896.59 is: 5,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.23 : 7,542.43 = 3,896.59 : x
  2. Step 2: Convert to fraction form
    5,471.23/7,542.43 = 3,896.59/x
  3. Step 3: Cross multiply
    5,471.23x = 7,542.43 × 3,896.59
  4. Step 4: Simplify right side
    5,471.23x = 29,389,757.31
  5. Step 5: Solve for x
    x = 29,389,757.31/5,471.23
  6. Step 6: Final answer
    x = 5,371.69

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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.