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Finding the Fourth Proportional to 5,481.28, 8,223 and 1,585.72

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Solution

The fourth proportional to 5,481.28, 8,223 and 1,585.72 is: 2,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.28 : 8,223 = 1,585.72 : x
  2. Step 2: Convert to fraction form
    5,481.28/8,223 = 1,585.72/x
  3. Step 3: Cross multiply
    5,481.28x = 8,223 × 1,585.72
  4. Step 4: Simplify right side
    5,481.28x = 13,039,375.56
  5. Step 5: Solve for x
    x = 13,039,375.56/5,481.28
  6. Step 6: Final answer
    x = 2,378.89

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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.