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Finding the Fourth Proportional to 20,495.88, 30,744.54 and 6,645

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Solution

The fourth proportional to 20,495.88, 30,744.54 and 6,645 is: 9,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.88 : 30,744.54 = 6,645 : x
  2. Step 2: Convert to fraction form
    20,495.88/30,744.54 = 6,645/x
  3. Step 3: Cross multiply
    20,495.88x = 30,744.54 × 6,645
  4. Step 4: Simplify right side
    20,495.88x = 204,297,468.30
  5. Step 5: Solve for x
    x = 204,297,468.30/20,495.88
  6. Step 6: Final answer
    x = 9,967.73

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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.