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Finding the Fourth Proportional to 5,456.36, 8,179.46 and 1,991

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Solution

The fourth proportional to 5,456.36, 8,179.46 and 1,991 is: 2,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.36 : 8,179.46 = 1,991 : x
  2. Step 2: Convert to fraction form
    5,456.36/8,179.46 = 1,991/x
  3. Step 3: Cross multiply
    5,456.36x = 8,179.46 × 1,991
  4. Step 4: Simplify right side
    5,456.36x = 16,285,304.86
  5. Step 5: Solve for x
    x = 16,285,304.86/5,456.36
  6. Step 6: Final answer
    x = 2,984.65

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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.