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Finding the Fourth Proportional to 8,665.22, 12,997.83 and 2,091.40

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Solution

The fourth proportional to 8,665.22, 12,997.83 and 2,091.40 is: 3,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.22 : 12,997.83 = 2,091.40 : x
  2. Step 2: Convert to fraction form
    8,665.22/12,997.83 = 2,091.40/x
  3. Step 3: Cross multiply
    8,665.22x = 12,997.83 × 2,091.40
  4. Step 4: Simplify right side
    8,665.22x = 27,183,661.66
  5. Step 5: Solve for x
    x = 27,183,661.66/8,665.22
  6. Step 6: Final answer
    x = 3,137.10

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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.