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Finding the Fourth Proportional to 3,201.77, 4,807.87 and 1,976.97

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Solution

The fourth proportional to 3,201.77, 4,807.87 and 1,976.97 is: 2,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.77 : 4,807.87 = 1,976.97 : x
  2. Step 2: Convert to fraction form
    3,201.77/4,807.87 = 1,976.97/x
  3. Step 3: Cross multiply
    3,201.77x = 4,807.87 × 1,976.97
  4. Step 4: Simplify right side
    3,201.77x = 9,505,027.84
  5. Step 5: Solve for x
    x = 9,505,027.84/3,201.77
  6. Step 6: Final answer
    x = 2,968.68

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1.5x scale

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.