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Finding the Fourth Proportional to 3,984.64, 5,976.72 and 1,519.71

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Solution

The fourth proportional to 3,984.64, 5,976.72 and 1,519.71 is: 2,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.64 : 5,976.72 = 1,519.71 : x
  2. Step 2: Convert to fraction form
    3,984.64/5,976.72 = 1,519.71/x
  3. Step 3: Cross multiply
    3,984.64x = 5,976.72 × 1,519.71
  4. Step 4: Simplify right side
    3,984.64x = 9,082,864.44
  5. Step 5: Solve for x
    x = 9,082,864.44/3,984.64
  6. Step 6: Final answer
    x = 2,279.47

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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.