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Finding the Fourth Proportional to 10,805.28, 16,208 and 3,410.34

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Solution

The fourth proportional to 10,805.28, 16,208 and 3,410.34 is: 5,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.28 : 16,208 = 3,410.34 : x
  2. Step 2: Convert to fraction form
    10,805.28/16,208 = 3,410.34/x
  3. Step 3: Cross multiply
    10,805.28x = 16,208 × 3,410.34
  4. Step 4: Simplify right side
    10,805.28x = 55,274,790.72
  5. Step 5: Solve for x
    x = 55,274,790.72/10,805.28
  6. Step 6: Final answer
    x = 5,115.54

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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.