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Finding the Fourth Proportional to 2,755.60, 3,803.81 and 1,871.91

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Solution

The fourth proportional to 2,755.60, 3,803.81 and 1,871.91 is: 2,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.60 : 3,803.81 = 1,871.91 : x
  2. Step 2: Convert to fraction form
    2,755.60/3,803.81 = 1,871.91/x
  3. Step 3: Cross multiply
    2,755.60x = 3,803.81 × 1,871.91
  4. Step 4: Simplify right side
    2,755.60x = 7,120,380.62
  5. Step 5: Solve for x
    x = 7,120,380.62/2,755.60
  6. Step 6: Final answer
    x = 2,583.97

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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.