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Finding the Fourth Proportional to 3,829.64, 5,741.78 and 1,956.10

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Solution

The fourth proportional to 3,829.64, 5,741.78 and 1,956.10 is: 2,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.64 : 5,741.78 = 1,956.10 : x
  2. Step 2: Convert to fraction form
    3,829.64/5,741.78 = 1,956.10/x
  3. Step 3: Cross multiply
    3,829.64x = 5,741.78 × 1,956.10
  4. Step 4: Simplify right side
    3,829.64x = 11,231,490.97
  5. Step 5: Solve for x
    x = 11,231,490.97/3,829.64
  6. Step 6: Final answer
    x = 2,932.78

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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.