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Finding the Fourth Proportional to 6,893.28, 10,331.28 and 3,431.52

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Solution

The fourth proportional to 6,893.28, 10,331.28 and 3,431.52 is: 5,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.28 : 10,331.28 = 3,431.52 : x
  2. Step 2: Convert to fraction form
    6,893.28/10,331.28 = 3,431.52/x
  3. Step 3: Cross multiply
    6,893.28x = 10,331.28 × 3,431.52
  4. Step 4: Simplify right side
    6,893.28x = 35,451,993.95
  5. Step 5: Solve for x
    x = 35,451,993.95/6,893.28
  6. Step 6: Final answer
    x = 5,142.98

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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.