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Finding the Fourth Proportional to 8,153, 12,229.50 and 1,997

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Solution

The fourth proportional to 8,153, 12,229.50 and 1,997 is: 2,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153 : 12,229.50 = 1,997 : x
  2. Step 2: Convert to fraction form
    8,153/12,229.50 = 1,997/x
  3. Step 3: Cross multiply
    8,153x = 12,229.50 × 1,997
  4. Step 4: Simplify right side
    8,153x = 24,422,311.50
  5. Step 5: Solve for x
    x = 24,422,311.50/8,153
  6. Step 6: Final answer
    x = 2,995.50

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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.