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Finding the Fourth Proportional to 3,761.64, 5,191.05 and 2,105.64

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Solution

The fourth proportional to 3,761.64, 5,191.05 and 2,105.64 is: 2,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.64 : 5,191.05 = 2,105.64 : x
  2. Step 2: Convert to fraction form
    3,761.64/5,191.05 = 2,105.64/x
  3. Step 3: Cross multiply
    3,761.64x = 5,191.05 × 2,105.64
  4. Step 4: Simplify right side
    3,761.64x = 10,930,482.52
  5. Step 5: Solve for x
    x = 10,930,482.52/3,761.64
  6. Step 6: Final answer
    x = 2,905.78

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