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Finding the Fourth Proportional to 3,840.44, 5,758.00 and 1,961.75

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Solution

The fourth proportional to 3,840.44, 5,758.00 and 1,961.75 is: 2,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.44 : 5,758.00 = 1,961.75 : x
  2. Step 2: Convert to fraction form
    3,840.44/5,758.00 = 1,961.75/x
  3. Step 3: Cross multiply
    3,840.44x = 5,758.00 × 1,961.75
  4. Step 4: Simplify right side
    3,840.44x = 11,295,744.64
  5. Step 5: Solve for x
    x = 11,295,744.64/3,840.44
  6. Step 6: Final answer
    x = 2,941.26

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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.