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Finding the Fourth Proportional to 3,201.28, 4,795.72 and 2,102.28

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Solution

The fourth proportional to 3,201.28, 4,795.72 and 2,102.28 is: 3,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.28 : 4,795.72 = 2,102.28 : x
  2. Step 2: Convert to fraction form
    3,201.28/4,795.72 = 2,102.28/x
  3. Step 3: Cross multiply
    3,201.28x = 4,795.72 × 2,102.28
  4. Step 4: Simplify right side
    3,201.28x = 10,081,946.24
  5. Step 5: Solve for x
    x = 10,081,946.24/3,201.28
  6. Step 6: Final answer
    x = 3,149.35

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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.