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Finding the Fourth Proportional to 8,003.47, 11,997 and 3,071.78

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Solution

The fourth proportional to 8,003.47, 11,997 and 3,071.78 is: 4,604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.47 : 11,997 = 3,071.78 : x
  2. Step 2: Convert to fraction form
    8,003.47/11,997 = 3,071.78/x
  3. Step 3: Cross multiply
    8,003.47x = 11,997 × 3,071.78
  4. Step 4: Simplify right side
    8,003.47x = 36,852,174.65
  5. Step 5: Solve for x
    x = 36,852,174.65/8,003.47
  6. Step 6: Final answer
    x = 4,604.53

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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.