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Finding the Fourth Proportional to 20,549, 30,825.94 and 6,698

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Solution

The fourth proportional to 20,549, 30,825.94 and 6,698 is: 10,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549 : 30,825.94 = 6,698 : x
  2. Step 2: Convert to fraction form
    20,549/30,825.94 = 6,698/x
  3. Step 3: Cross multiply
    20,549x = 30,825.94 × 6,698
  4. Step 4: Simplify right side
    20,549x = 206,472,146.12
  5. Step 5: Solve for x
    x = 206,472,146.12/20,549
  6. Step 6: Final answer
    x = 10,047.80

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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.