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Finding the Fourth Proportional to 2,727.81, 3,764.49 and 2,137.32

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Solution

The fourth proportional to 2,727.81, 3,764.49 and 2,137.32 is: 2,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.81 : 3,764.49 = 2,137.32 : x
  2. Step 2: Convert to fraction form
    2,727.81/3,764.49 = 2,137.32/x
  3. Step 3: Cross multiply
    2,727.81x = 3,764.49 × 2,137.32
  4. Step 4: Simplify right side
    2,727.81x = 8,045,919.77
  5. Step 5: Solve for x
    x = 8,045,919.77/2,727.81
  6. Step 6: Final answer
    x = 2,949.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.