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Finding the Fourth Proportional to 5,471.74, 7,548.42 and 3,979

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Solution

The fourth proportional to 5,471.74, 7,548.42 and 3,979 is: 5,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.74 : 7,548.42 = 3,979 : x
  2. Step 2: Convert to fraction form
    5,471.74/7,548.42 = 3,979/x
  3. Step 3: Cross multiply
    5,471.74x = 7,548.42 × 3,979
  4. Step 4: Simplify right side
    5,471.74x = 30,035,163.18
  5. Step 5: Solve for x
    x = 30,035,163.18/5,471.74
  6. Step 6: Final answer
    x = 5,489.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.