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Finding the Fourth Proportional to 3,105.82, 4,652.34 and 1,641.88

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Solution

The fourth proportional to 3,105.82, 4,652.34 and 1,641.88 is: 2,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.82 : 4,652.34 = 1,641.88 : x
  2. Step 2: Convert to fraction form
    3,105.82/4,652.34 = 1,641.88/x
  3. Step 3: Cross multiply
    3,105.82x = 4,652.34 × 1,641.88
  4. Step 4: Simplify right side
    3,105.82x = 7,638,584.00
  5. Step 5: Solve for x
    x = 7,638,584.00/3,105.82
  6. Step 6: Final answer
    x = 2,459.44

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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.