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Finding the Fourth Proportional to 20,646.72, 30,973.92 and 6,805.44

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Solution

The fourth proportional to 20,646.72, 30,973.92 and 6,805.44 is: 10,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.72 : 30,973.92 = 6,805.44 : x
  2. Step 2: Convert to fraction form
    20,646.72/30,973.92 = 6,805.44/x
  3. Step 3: Cross multiply
    20,646.72x = 30,973.92 × 6,805.44
  4. Step 4: Simplify right side
    20,646.72x = 210,791,154.12
  5. Step 5: Solve for x
    x = 210,791,154.12/20,646.72
  6. Step 6: Final answer
    x = 10,209.43

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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.