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Finding the Fourth Proportional to 3,755.57, 5,633.96 and 1,905.93

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Solution

The fourth proportional to 3,755.57, 5,633.96 and 1,905.93 is: 2,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.57 : 5,633.96 = 1,905.93 : x
  2. Step 2: Convert to fraction form
    3,755.57/5,633.96 = 1,905.93/x
  3. Step 3: Cross multiply
    3,755.57x = 5,633.96 × 1,905.93
  4. Step 4: Simplify right side
    3,755.57x = 10,737,923.85
  5. Step 5: Solve for x
    x = 10,737,923.85/3,755.57
  6. Step 6: Final answer
    x = 2,859.20

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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.