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Finding the Fourth Proportional to 20,751, 31,126.50 and 6,722.79

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Solution

The fourth proportional to 20,751, 31,126.50 and 6,722.79 is: 10,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,751 : 31,126.50 = 6,722.79 : x
  2. Step 2: Convert to fraction form
    20,751/31,126.50 = 6,722.79/x
  3. Step 3: Cross multiply
    20,751x = 31,126.50 × 6,722.79
  4. Step 4: Simplify right side
    20,751x = 209,256,922.94
  5. Step 5: Solve for x
    x = 209,256,922.94/20,751
  6. Step 6: Final answer
    x = 10,084.19

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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.