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Finding the Fourth Proportional to 3,830.76, 5,736.54 and 2,671.08

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Solution

The fourth proportional to 3,830.76, 5,736.54 and 2,671.08 is: 3,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.76 : 5,736.54 = 2,671.08 : x
  2. Step 2: Convert to fraction form
    3,830.76/5,736.54 = 2,671.08/x
  3. Step 3: Cross multiply
    3,830.76x = 5,736.54 × 2,671.08
  4. Step 4: Simplify right side
    3,830.76x = 15,322,757.26
  5. Step 5: Solve for x
    x = 15,322,757.26/3,830.76
  6. Step 6: Final answer
    x = 3,999.93

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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.