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Finding the Fourth Proportional to 5,603.92, 8,399.40 and 3,958

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Solution

The fourth proportional to 5,603.92, 8,399.40 and 3,958 is: 5,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.92 : 8,399.40 = 3,958 : x
  2. Step 2: Convert to fraction form
    5,603.92/8,399.40 = 3,958/x
  3. Step 3: Cross multiply
    5,603.92x = 8,399.40 × 3,958
  4. Step 4: Simplify right side
    5,603.92x = 33,244,825.20
  5. Step 5: Solve for x
    x = 33,244,825.20/5,603.92
  6. Step 6: Final answer
    x = 5,932.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.