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Finding the Fourth Proportional to 20,504.88, 30,731.04 and 11,149.20

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Solution

The fourth proportional to 20,504.88, 30,731.04 and 11,149.20 is: 16,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.88 : 30,731.04 = 11,149.20 : x
  2. Step 2: Convert to fraction form
    20,504.88/30,731.04 = 11,149.20/x
  3. Step 3: Cross multiply
    20,504.88x = 30,731.04 × 11,149.20
  4. Step 4: Simplify right side
    20,504.88x = 342,626,511.17
  5. Step 5: Solve for x
    x = 342,626,511.17/20,504.88
  6. Step 6: Final answer
    x = 16,709.51

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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.