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Finding the Fourth Proportional to 8,200.83, 12,301.20 and 3,203.71

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Solution

The fourth proportional to 8,200.83, 12,301.20 and 3,203.71 is: 4,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.83 : 12,301.20 = 3,203.71 : x
  2. Step 2: Convert to fraction form
    8,200.83/12,301.20 = 3,203.71/x
  3. Step 3: Cross multiply
    8,200.83x = 12,301.20 × 3,203.71
  4. Step 4: Simplify right side
    8,200.83x = 39,409,477.45
  5. Step 5: Solve for x
    x = 39,409,477.45/8,200.83
  6. Step 6: Final answer
    x = 4,805.55

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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.