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Finding the Fourth Proportional to 3,209.13, 4,799.79 and 1,889.74

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Solution

The fourth proportional to 3,209.13, 4,799.79 and 1,889.74 is: 2,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.13 : 4,799.79 = 1,889.74 : x
  2. Step 2: Convert to fraction form
    3,209.13/4,799.79 = 1,889.74/x
  3. Step 3: Cross multiply
    3,209.13x = 4,799.79 × 1,889.74
  4. Step 4: Simplify right side
    3,209.13x = 9,070,355.15
  5. Step 5: Solve for x
    x = 9,070,355.15/3,209.13
  6. Step 6: Final answer
    x = 2,826.42

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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.