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Finding the Fourth Proportional to 10,809.44, 16,213.92 and 2,912

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Solution

The fourth proportional to 10,809.44, 16,213.92 and 2,912 is: 4,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.44 : 16,213.92 = 2,912 : x
  2. Step 2: Convert to fraction form
    10,809.44/16,213.92 = 2,912/x
  3. Step 3: Cross multiply
    10,809.44x = 16,213.92 × 2,912
  4. Step 4: Simplify right side
    10,809.44x = 47,214,935.04
  5. Step 5: Solve for x
    x = 47,214,935.04/10,809.44
  6. Step 6: Final answer
    x = 4,367.94

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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.