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Finding the Fourth Proportional to 3,563.80, 4,918.16 and 1,991.88

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Solution

The fourth proportional to 3,563.80, 4,918.16 and 1,991.88 is: 2,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.80 : 4,918.16 = 1,991.88 : x
  2. Step 2: Convert to fraction form
    3,563.80/4,918.16 = 1,991.88/x
  3. Step 3: Cross multiply
    3,563.80x = 4,918.16 × 1,991.88
  4. Step 4: Simplify right side
    3,563.80x = 9,796,384.54
  5. Step 5: Solve for x
    x = 9,796,384.54/3,563.80
  6. Step 6: Final answer
    x = 2,748.86

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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.