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Finding the Fourth Proportional to 21,278.28, 31,922.82 and 8,129.28

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Solution

The fourth proportional to 21,278.28, 31,922.82 and 8,129.28 is: 12,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.28 : 31,922.82 = 8,129.28 : x
  2. Step 2: Convert to fraction form
    21,278.28/31,922.82 = 8,129.28/x
  3. Step 3: Cross multiply
    21,278.28x = 31,922.82 × 8,129.28
  4. Step 4: Simplify right side
    21,278.28x = 259,509,542.17
  5. Step 5: Solve for x
    x = 259,509,542.17/21,278.28
  6. Step 6: Final answer
    x = 12,195.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.