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Finding the Fourth Proportional to 20,771.92, 31,146.36 and 6,913.36

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Solution

The fourth proportional to 20,771.92, 31,146.36 and 6,913.36 is: 10,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771.92 : 31,146.36 = 6,913.36 : x
  2. Step 2: Convert to fraction form
    20,771.92/31,146.36 = 6,913.36/x
  3. Step 3: Cross multiply
    20,771.92x = 31,146.36 × 6,913.36
  4. Step 4: Simplify right side
    20,771.92x = 215,325,999.37
  5. Step 5: Solve for x
    x = 215,325,999.37/20,771.92
  6. Step 6: Final answer
    x = 10,366.21

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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.