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Finding the Fourth Proportional to 3,012.56, 4,512.60 and 1,605.44

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Solution

The fourth proportional to 3,012.56, 4,512.60 and 1,605.44 is: 2,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.56 : 4,512.60 = 1,605.44 : x
  2. Step 2: Convert to fraction form
    3,012.56/4,512.60 = 1,605.44/x
  3. Step 3: Cross multiply
    3,012.56x = 4,512.60 × 1,605.44
  4. Step 4: Simplify right side
    3,012.56x = 7,244,708.54
  5. Step 5: Solve for x
    x = 7,244,708.54/3,012.56
  6. Step 6: Final answer
    x = 2,404.83

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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.