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Finding the Fourth Proportional to 5,454.56, 8,181.02 and 1,991

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Solution

The fourth proportional to 5,454.56, 8,181.02 and 1,991 is: 2,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.56 : 8,181.02 = 1,991 : x
  2. Step 2: Convert to fraction form
    5,454.56/8,181.02 = 1,991/x
  3. Step 3: Cross multiply
    5,454.56x = 8,181.02 × 1,991
  4. Step 4: Simplify right side
    5,454.56x = 16,288,410.82
  5. Step 5: Solve for x
    x = 16,288,410.82/5,454.56
  6. Step 6: Final answer
    x = 2,986.20

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Why These Related Problems?

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