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Finding the Fourth Proportional to 3,201.45, 4,801.77 and 1,351.64

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Solution

The fourth proportional to 3,201.45, 4,801.77 and 1,351.64 is: 2,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.45 : 4,801.77 = 1,351.64 : x
  2. Step 2: Convert to fraction form
    3,201.45/4,801.77 = 1,351.64/x
  3. Step 3: Cross multiply
    3,201.45x = 4,801.77 × 1,351.64
  4. Step 4: Simplify right side
    3,201.45x = 6,490,240.39
  5. Step 5: Solve for x
    x = 6,490,240.39/3,201.45
  6. Step 6: Final answer
    x = 2,027.28

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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.