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Finding the Fourth Proportional to 3,830.44, 5,742.42 and 1,520.68

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Solution

The fourth proportional to 3,830.44, 5,742.42 and 1,520.68 is: 2,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.44 : 5,742.42 = 1,520.68 : x
  2. Step 2: Convert to fraction form
    3,830.44/5,742.42 = 1,520.68/x
  3. Step 3: Cross multiply
    3,830.44x = 5,742.42 × 1,520.68
  4. Step 4: Simplify right side
    3,830.44x = 8,732,383.25
  5. Step 5: Solve for x
    x = 8,732,383.25/3,830.44
  6. Step 6: Final answer
    x = 2,279.73

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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.