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Finding the Fourth Proportional to 3,586, 5,379.60 and 1,120.44

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Solution

The fourth proportional to 3,586, 5,379.60 and 1,120.44 is: 1,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586 : 5,379.60 = 1,120.44 : x
  2. Step 2: Convert to fraction form
    3,586/5,379.60 = 1,120.44/x
  3. Step 3: Cross multiply
    3,586x = 5,379.60 × 1,120.44
  4. Step 4: Simplify right side
    3,586x = 6,027,519.02
  5. Step 5: Solve for x
    x = 6,027,519.02/3,586
  6. Step 6: Final answer
    x = 1,680.85

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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.