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Finding the Fourth Proportional to 3,828.79, 5,743.19 and 1,519.75

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Solution

The fourth proportional to 3,828.79, 5,743.19 and 1,519.75 is: 2,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.79 : 5,743.19 = 1,519.75 : x
  2. Step 2: Convert to fraction form
    3,828.79/5,743.19 = 1,519.75/x
  3. Step 3: Cross multiply
    3,828.79x = 5,743.19 × 1,519.75
  4. Step 4: Simplify right side
    3,828.79x = 8,728,213.00
  5. Step 5: Solve for x
    x = 8,728,213.00/3,828.79
  6. Step 6: Final answer
    x = 2,279.63

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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.