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Finding the Fourth Proportional to 3,830.75, 5,751.38 and 1,983.14

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Solution

The fourth proportional to 3,830.75, 5,751.38 and 1,983.14 is: 2,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.75 : 5,751.38 = 1,983.14 : x
  2. Step 2: Convert to fraction form
    3,830.75/5,751.38 = 1,983.14/x
  3. Step 3: Cross multiply
    3,830.75x = 5,751.38 × 1,983.14
  4. Step 4: Simplify right side
    3,830.75x = 11,405,753.06
  5. Step 5: Solve for x
    x = 11,405,753.06/3,830.75
  6. Step 6: Final answer
    x = 2,977.42

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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.