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Finding the Fourth Proportional to 20,494.88, 30,743.04 and 6,644

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Solution

The fourth proportional to 20,494.88, 30,743.04 and 6,644 is: 9,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.88 : 30,743.04 = 6,644 : x
  2. Step 2: Convert to fraction form
    20,494.88/30,743.04 = 6,644/x
  3. Step 3: Cross multiply
    20,494.88x = 30,743.04 × 6,644
  4. Step 4: Simplify right side
    20,494.88x = 204,256,757.76
  5. Step 5: Solve for x
    x = 204,256,757.76/20,494.88
  6. Step 6: Final answer
    x = 9,966.23

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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.