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Finding the Fourth Proportional to 11,200.98, 16,800.27 and 3,409.86

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Solution

The fourth proportional to 11,200.98, 16,800.27 and 3,409.86 is: 5,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.98 : 16,800.27 = 3,409.86 : x
  2. Step 2: Convert to fraction form
    11,200.98/16,800.27 = 3,409.86/x
  3. Step 3: Cross multiply
    11,200.98x = 16,800.27 × 3,409.86
  4. Step 4: Simplify right side
    11,200.98x = 57,286,568.66
  5. Step 5: Solve for x
    x = 57,286,568.66/11,200.98
  6. Step 6: Final answer
    x = 5,114.42

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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.