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Finding the Fourth Proportional to 8,321, 12,481.50 and 2,165

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Solution

The fourth proportional to 8,321, 12,481.50 and 2,165 is: 3,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321 : 12,481.50 = 2,165 : x
  2. Step 2: Convert to fraction form
    8,321/12,481.50 = 2,165/x
  3. Step 3: Cross multiply
    8,321x = 12,481.50 × 2,165
  4. Step 4: Simplify right side
    8,321x = 27,022,447.50
  5. Step 5: Solve for x
    x = 27,022,447.50/8,321
  6. Step 6: Final answer
    x = 3,247.50

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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.