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Finding the Fourth Proportional to 3,905.82, 5,858.10 and 1,441.80

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Solution

The fourth proportional to 3,905.82, 5,858.10 and 1,441.80 is: 2,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.82 : 5,858.10 = 1,441.80 : x
  2. Step 2: Convert to fraction form
    3,905.82/5,858.10 = 1,441.80/x
  3. Step 3: Cross multiply
    3,905.82x = 5,858.10 × 1,441.80
  4. Step 4: Simplify right side
    3,905.82x = 8,446,208.58
  5. Step 5: Solve for x
    x = 8,446,208.58/3,905.82
  6. Step 6: Final answer
    x = 2,162.47

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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.