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Finding the Fourth Proportional to 10,625.28, 15,940.16 and 3,229.28

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Solution

The fourth proportional to 10,625.28, 15,940.16 and 3,229.28 is: 4,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.28 : 15,940.16 = 3,229.28 : x
  2. Step 2: Convert to fraction form
    10,625.28/15,940.16 = 3,229.28/x
  3. Step 3: Cross multiply
    10,625.28x = 15,940.16 × 3,229.28
  4. Step 4: Simplify right side
    10,625.28x = 51,475,239.88
  5. Step 5: Solve for x
    x = 51,475,239.88/10,625.28
  6. Step 6: Final answer
    x = 4,844.60

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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.