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Finding the Fourth Proportional to 20,640.98, 30,960.26 and 6,789.98

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Solution

The fourth proportional to 20,640.98, 30,960.26 and 6,789.98 is: 10,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.98 : 30,960.26 = 6,789.98 : x
  2. Step 2: Convert to fraction form
    20,640.98/30,960.26 = 6,789.98/x
  3. Step 3: Cross multiply
    20,640.98x = 30,960.26 × 6,789.98
  4. Step 4: Simplify right side
    20,640.98x = 210,219,615.11
  5. Step 5: Solve for x
    x = 210,219,615.11/20,640.98
  6. Step 6: Final answer
    x = 10,184.57

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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.