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Finding the Fourth Proportional to 3,881.15, 5,813.82 and 1,900.90

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Solution

The fourth proportional to 3,881.15, 5,813.82 and 1,900.90 is: 2,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.15 : 5,813.82 = 1,900.90 : x
  2. Step 2: Convert to fraction form
    3,881.15/5,813.82 = 1,900.90/x
  3. Step 3: Cross multiply
    3,881.15x = 5,813.82 × 1,900.90
  4. Step 4: Simplify right side
    3,881.15x = 11,051,490.44
  5. Step 5: Solve for x
    x = 11,051,490.44/3,881.15
  6. Step 6: Final answer
    x = 2,847.48

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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.