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Finding the Fourth Proportional to 2,580.45, 3,867.87 and 936.54

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Solution

The fourth proportional to 2,580.45, 3,867.87 and 936.54 is: 1,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.45 : 3,867.87 = 936.54 : x
  2. Step 2: Convert to fraction form
    2,580.45/3,867.87 = 936.54/x
  3. Step 3: Cross multiply
    2,580.45x = 3,867.87 × 936.54
  4. Step 4: Simplify right side
    2,580.45x = 3,622,414.97
  5. Step 5: Solve for x
    x = 3,622,414.97/2,580.45
  6. Step 6: Final answer
    x = 1,403.79

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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.