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Finding the Fourth Proportional to 8,003.70, 12,002.99 and 2,665.73

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Solution

The fourth proportional to 8,003.70, 12,002.99 and 2,665.73 is: 3,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.70 : 12,002.99 = 2,665.73 : x
  2. Step 2: Convert to fraction form
    8,003.70/12,002.99 = 2,665.73/x
  3. Step 3: Cross multiply
    8,003.70x = 12,002.99 × 2,665.73
  4. Step 4: Simplify right side
    8,003.70x = 31,996,747.21
  5. Step 5: Solve for x
    x = 31,996,747.21/8,003.70
  6. Step 6: Final answer
    x = 3,997.74

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1.5x scale

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.