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Finding the Fourth Proportional to 13,910.40, 20,844 and 8,975.88

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Solution

The fourth proportional to 13,910.40, 20,844 and 8,975.88 is: 13,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.40 : 20,844 = 8,975.88 : x
  2. Step 2: Convert to fraction form
    13,910.40/20,844 = 8,975.88/x
  3. Step 3: Cross multiply
    13,910.40x = 20,844 × 8,975.88
  4. Step 4: Simplify right side
    13,910.40x = 187,093,242.72
  5. Step 5: Solve for x
    x = 187,093,242.72/13,910.40
  6. Step 6: Final answer
    x = 13,449.88

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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.