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Finding the Fourth Proportional to 20,829, 31,243.54 and 8,517

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Solution

The fourth proportional to 20,829, 31,243.54 and 8,517 is: 12,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829 : 31,243.54 = 8,517 : x
  2. Step 2: Convert to fraction form
    20,829/31,243.54 = 8,517/x
  3. Step 3: Cross multiply
    20,829x = 31,243.54 × 8,517
  4. Step 4: Simplify right side
    20,829x = 266,101,230.18
  5. Step 5: Solve for x
    x = 266,101,230.18/20,829
  6. Step 6: Final answer
    x = 12,775.52

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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.