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Finding the Fourth Proportional to 3,616, 5,427.20 and 1,885.44

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Solution

The fourth proportional to 3,616, 5,427.20 and 1,885.44 is: 2,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616 : 5,427.20 = 1,885.44 : x
  2. Step 2: Convert to fraction form
    3,616/5,427.20 = 1,885.44/x
  3. Step 3: Cross multiply
    3,616x = 5,427.20 × 1,885.44
  4. Step 4: Simplify right side
    3,616x = 10,232,659.97
  5. Step 5: Solve for x
    x = 10,232,659.97/3,616
  6. Step 6: Final answer
    x = 2,829.83

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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.