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Finding the Fourth Proportional to 3,850.82, 5,778 and 1,511.44

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Solution

The fourth proportional to 3,850.82, 5,778 and 1,511.44 is: 2,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.82 : 5,778 = 1,511.44 : x
  2. Step 2: Convert to fraction form
    3,850.82/5,778 = 1,511.44/x
  3. Step 3: Cross multiply
    3,850.82x = 5,778 × 1,511.44
  4. Step 4: Simplify right side
    3,850.82x = 8,733,094.00
  5. Step 5: Solve for x
    x = 8,733,094.00/3,850.82
  6. Step 6: Final answer
    x = 2,267.86

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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.