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Finding the Fourth Proportional to 8,101, 12,153.66 and 3,997

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Solution

The fourth proportional to 8,101, 12,153.66 and 3,997 is: 5,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101 : 12,153.66 = 3,997 : x
  2. Step 2: Convert to fraction form
    8,101/12,153.66 = 3,997/x
  3. Step 3: Cross multiply
    8,101x = 12,153.66 × 3,997
  4. Step 4: Simplify right side
    8,101x = 48,578,179.02
  5. Step 5: Solve for x
    x = 48,578,179.02/8,101
  6. Step 6: Final answer
    x = 5,996.57

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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.