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Finding the Fourth Proportional to 3,873.64, 5,814.27 and 2,764.28

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Solution

The fourth proportional to 3,873.64, 5,814.27 and 2,764.28 is: 4,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.64 : 5,814.27 = 2,764.28 : x
  2. Step 2: Convert to fraction form
    3,873.64/5,814.27 = 2,764.28/x
  3. Step 3: Cross multiply
    3,873.64x = 5,814.27 × 2,764.28
  4. Step 4: Simplify right side
    3,873.64x = 16,072,241.20
  5. Step 5: Solve for x
    x = 16,072,241.20/3,873.64
  6. Step 6: Final answer
    x = 4,149.13

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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.