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Finding the Fourth Proportional to 3,200.34, 4,797.21 and 1,352.58

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Solution

The fourth proportional to 3,200.34, 4,797.21 and 1,352.58 is: 2,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.34 : 4,797.21 = 1,352.58 : x
  2. Step 2: Convert to fraction form
    3,200.34/4,797.21 = 1,352.58/x
  3. Step 3: Cross multiply
    3,200.34x = 4,797.21 × 1,352.58
  4. Step 4: Simplify right side
    3,200.34x = 6,488,610.30
  5. Step 5: Solve for x
    x = 6,488,610.30/3,200.34
  6. Step 6: Final answer
    x = 2,027.48

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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.