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Finding the Fourth Proportional to 10,991.44, 16,489.60 and 3,199.60

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Solution

The fourth proportional to 10,991.44, 16,489.60 and 3,199.60 is: 4,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.44 : 16,489.60 = 3,199.60 : x
  2. Step 2: Convert to fraction form
    10,991.44/16,489.60 = 3,199.60/x
  3. Step 3: Cross multiply
    10,991.44x = 16,489.60 × 3,199.60
  4. Step 4: Simplify right side
    10,991.44x = 52,760,124.16
  5. Step 5: Solve for x
    x = 52,760,124.16/10,991.44
  6. Step 6: Final answer
    x = 4,800.11

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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.