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Finding the Fourth Proportional to 3,203.80, 4,807.19 and 1,228.77

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Solution

The fourth proportional to 3,203.80, 4,807.19 and 1,228.77 is: 1,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.80 : 4,807.19 = 1,228.77 : x
  2. Step 2: Convert to fraction form
    3,203.80/4,807.19 = 1,228.77/x
  3. Step 3: Cross multiply
    3,203.80x = 4,807.19 × 1,228.77
  4. Step 4: Simplify right side
    3,203.80x = 5,906,924.71
  5. Step 5: Solve for x
    x = 5,906,924.71/3,203.80
  6. Step 6: Final answer
    x = 1,843.73

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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.