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Finding the Fourth Proportional to 3,205.80, 4,424.28 and 1,789.80

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Solution

The fourth proportional to 3,205.80, 4,424.28 and 1,789.80 is: 2,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.80 : 4,424.28 = 1,789.80 : x
  2. Step 2: Convert to fraction form
    3,205.80/4,424.28 = 1,789.80/x
  3. Step 3: Cross multiply
    3,205.80x = 4,424.28 × 1,789.80
  4. Step 4: Simplify right side
    3,205.80x = 7,918,576.34
  5. Step 5: Solve for x
    x = 7,918,576.34/3,205.80
  6. Step 6: Final answer
    x = 2,470.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.