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Finding the Fourth Proportional to 8,201.75, 12,303.83 and 3,203.13

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Solution

The fourth proportional to 8,201.75, 12,303.83 and 3,203.13 is: 4,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.75 : 12,303.83 = 3,203.13 : x
  2. Step 2: Convert to fraction form
    8,201.75/12,303.83 = 3,203.13/x
  3. Step 3: Cross multiply
    8,201.75x = 12,303.83 × 3,203.13
  4. Step 4: Simplify right side
    8,201.75x = 39,410,750.97
  5. Step 5: Solve for x
    x = 39,410,750.97/8,201.75
  6. Step 6: Final answer
    x = 4,805.17

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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.