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Finding the Fourth Proportional to 3,405, 5,104.80 and 1,761.78

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Solution

The fourth proportional to 3,405, 5,104.80 and 1,761.78 is: 2,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405 : 5,104.80 = 1,761.78 : x
  2. Step 2: Convert to fraction form
    3,405/5,104.80 = 1,761.78/x
  3. Step 3: Cross multiply
    3,405x = 5,104.80 × 1,761.78
  4. Step 4: Simplify right side
    3,405x = 8,993,534.54
  5. Step 5: Solve for x
    x = 8,993,534.54/3,405
  6. Step 6: Final answer
    x = 2,641.27

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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.