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Finding the Fourth Proportional to 3,893.97, 5,840.96 and 1,120.00

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Solution

The fourth proportional to 3,893.97, 5,840.96 and 1,120.00 is: 1,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.97 : 5,840.96 = 1,120.00 : x
  2. Step 2: Convert to fraction form
    3,893.97/5,840.96 = 1,120.00/x
  3. Step 3: Cross multiply
    3,893.97x = 5,840.96 × 1,120.00
  4. Step 4: Simplify right side
    3,893.97x = 6,541,872.25
  5. Step 5: Solve for x
    x = 6,541,872.25/3,893.97
  6. Step 6: Final answer
    x = 1,680.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.