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Finding the Fourth Proportional to 20,862.81, 31,294.22 and 6,824.30

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Solution

The fourth proportional to 20,862.81, 31,294.22 and 6,824.30 is: 10,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862.81 : 31,294.22 = 6,824.30 : x
  2. Step 2: Convert to fraction form
    20,862.81/31,294.22 = 6,824.30/x
  3. Step 3: Cross multiply
    20,862.81x = 31,294.22 × 6,824.30
  4. Step 4: Simplify right side
    20,862.81x = 213,560,954.95
  5. Step 5: Solve for x
    x = 213,560,954.95/20,862.81
  6. Step 6: Final answer
    x = 10,236.44

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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.