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Finding the Fourth Proportional to 10,778.72, 16,168 and 3,383.20

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Solution

The fourth proportional to 10,778.72, 16,168 and 3,383.20 is: 5,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.72 : 16,168 = 3,383.20 : x
  2. Step 2: Convert to fraction form
    10,778.72/16,168 = 3,383.20/x
  3. Step 3: Cross multiply
    10,778.72x = 16,168 × 3,383.20
  4. Step 4: Simplify right side
    10,778.72x = 54,699,577.60
  5. Step 5: Solve for x
    x = 54,699,577.60/10,778.72
  6. Step 6: Final answer
    x = 5,074.77

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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.