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Finding the Fourth Proportional to 3,405.59, 5,108.87 and 1,649.15

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Solution

The fourth proportional to 3,405.59, 5,108.87 and 1,649.15 is: 2,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.59 : 5,108.87 = 1,649.15 : x
  2. Step 2: Convert to fraction form
    3,405.59/5,108.87 = 1,649.15/x
  3. Step 3: Cross multiply
    3,405.59x = 5,108.87 × 1,649.15
  4. Step 4: Simplify right side
    3,405.59x = 8,425,309.86
  5. Step 5: Solve for x
    x = 8,425,309.86/3,405.59
  6. Step 6: Final answer
    x = 2,473.96

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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.