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Finding the Fourth Proportional to 11,899, 17,850.92 and 4,106.80

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Solution

The fourth proportional to 11,899, 17,850.92 and 4,106.80 is: 6,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899 : 17,850.92 = 4,106.80 : x
  2. Step 2: Convert to fraction form
    11,899/17,850.92 = 4,106.80/x
  3. Step 3: Cross multiply
    11,899x = 17,850.92 × 4,106.80
  4. Step 4: Simplify right side
    11,899x = 73,310,158.26
  5. Step 5: Solve for x
    x = 73,310,158.26/11,899
  6. Step 6: Final answer
    x = 6,161.04

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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.