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Finding the Fourth Proportional to 20,722, 31,087.92 and 6,871

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Solution

The fourth proportional to 20,722, 31,087.92 and 6,871 is: 10,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,722 : 31,087.92 = 6,871 : x
  2. Step 2: Convert to fraction form
    20,722/31,087.92 = 6,871/x
  3. Step 3: Cross multiply
    20,722x = 31,087.92 × 6,871
  4. Step 4: Simplify right side
    20,722x = 213,605,098.32
  5. Step 5: Solve for x
    x = 213,605,098.32/20,722
  6. Step 6: Final answer
    x = 10,308.13

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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.