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Finding the Fourth Proportional to 3,563.98, 4,917.81 and 1,991.86

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Solution

The fourth proportional to 3,563.98, 4,917.81 and 1,991.86 is: 2,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.98 : 4,917.81 = 1,991.86 : x
  2. Step 2: Convert to fraction form
    3,563.98/4,917.81 = 1,991.86/x
  3. Step 3: Cross multiply
    3,563.98x = 4,917.81 × 1,991.86
  4. Step 4: Simplify right side
    3,563.98x = 9,795,589.03
  5. Step 5: Solve for x
    x = 9,795,589.03/3,563.98
  6. Step 6: Final answer
    x = 2,748.50

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1.5x scale

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.