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Finding the Fourth Proportional to 10,873, 16,309.50 and 2,665

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Solution

The fourth proportional to 10,873, 16,309.50 and 2,665 is: 3,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873 : 16,309.50 = 2,665 : x
  2. Step 2: Convert to fraction form
    10,873/16,309.50 = 2,665/x
  3. Step 3: Cross multiply
    10,873x = 16,309.50 × 2,665
  4. Step 4: Simplify right side
    10,873x = 43,464,817.50
  5. Step 5: Solve for x
    x = 43,464,817.50/10,873
  6. Step 6: Final answer
    x = 3,997.50

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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.