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Finding the Fourth Proportional to 2,881.60, 3,976.04 and 1,997.12

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Solution

The fourth proportional to 2,881.60, 3,976.04 and 1,997.12 is: 2,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.60 : 3,976.04 = 1,997.12 : x
  2. Step 2: Convert to fraction form
    2,881.60/3,976.04 = 1,997.12/x
  3. Step 3: Cross multiply
    2,881.60x = 3,976.04 × 1,997.12
  4. Step 4: Simplify right side
    2,881.60x = 7,940,629.00
  5. Step 5: Solve for x
    x = 7,940,629.00/2,881.60
  6. Step 6: Final answer
    x = 2,755.63

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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.