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Finding the Fourth Proportional to 20,469.57, 30,714.06 and 6,618.57

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Solution

The fourth proportional to 20,469.57, 30,714.06 and 6,618.57 is: 9,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.57 : 30,714.06 = 6,618.57 : x
  2. Step 2: Convert to fraction form
    20,469.57/30,714.06 = 6,618.57/x
  3. Step 3: Cross multiply
    20,469.57x = 30,714.06 × 6,618.57
  4. Step 4: Simplify right side
    20,469.57x = 203,283,156.09
  5. Step 5: Solve for x
    x = 203,283,156.09/20,469.57
  6. Step 6: Final answer
    x = 9,930.99

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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.