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Finding the Fourth Proportional to 3,563.73, 4,918.10 and 1,991.81

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Solution

The fourth proportional to 3,563.73, 4,918.10 and 1,991.81 is: 2,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.73 : 4,918.10 = 1,991.81 : x
  2. Step 2: Convert to fraction form
    3,563.73/4,918.10 = 1,991.81/x
  3. Step 3: Cross multiply
    3,563.73x = 4,918.10 × 1,991.81
  4. Step 4: Simplify right side
    3,563.73x = 9,795,923.10
  5. Step 5: Solve for x
    x = 9,795,923.10/3,563.73
  6. Step 6: Final answer
    x = 2,748.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.