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Finding the Fourth Proportional to 3,200.08, 4,797.02 and 1,640.82

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Solution

The fourth proportional to 3,200.08, 4,797.02 and 1,640.82 is: 2,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.08 : 4,797.02 = 1,640.82 : x
  2. Step 2: Convert to fraction form
    3,200.08/4,797.02 = 1,640.82/x
  3. Step 3: Cross multiply
    3,200.08x = 4,797.02 × 1,640.82
  4. Step 4: Simplify right side
    3,200.08x = 7,871,046.36
  5. Step 5: Solve for x
    x = 7,871,046.36/3,200.08
  6. Step 6: Final answer
    x = 2,459.64

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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.