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Finding the Fourth Proportional to 2,205.63, 3,306.06 and 799.11

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Solution

The fourth proportional to 2,205.63, 3,306.06 and 799.11 is: 1,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.63 : 3,306.06 = 799.11 : x
  2. Step 2: Convert to fraction form
    2,205.63/3,306.06 = 799.11/x
  3. Step 3: Cross multiply
    2,205.63x = 3,306.06 × 799.11
  4. Step 4: Simplify right side
    2,205.63x = 2,641,905.61
  5. Step 5: Solve for x
    x = 2,641,905.61/2,205.63
  6. Step 6: Final answer
    x = 1,197.80

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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.