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Finding the Fourth Proportional to 20,882, 31,323 and 7,031

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Solution

The fourth proportional to 20,882, 31,323 and 7,031 is: 10,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882 : 31,323 = 7,031 : x
  2. Step 2: Convert to fraction form
    20,882/31,323 = 7,031/x
  3. Step 3: Cross multiply
    20,882x = 31,323 × 7,031
  4. Step 4: Simplify right side
    20,882x = 220,232,013
  5. Step 5: Solve for x
    x = 220,232,013/20,882
  6. Step 6: Final answer
    x = 10,546.50

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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.