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Finding the Fourth Proportional to 20,530.72, 30,796.08 and 5,739.04

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Solution

The fourth proportional to 20,530.72, 30,796.08 and 5,739.04 is: 8,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.72 : 30,796.08 = 5,739.04 : x
  2. Step 2: Convert to fraction form
    20,530.72/30,796.08 = 5,739.04/x
  3. Step 3: Cross multiply
    20,530.72x = 30,796.08 × 5,739.04
  4. Step 4: Simplify right side
    20,530.72x = 176,739,934.96
  5. Step 5: Solve for x
    x = 176,739,934.96/20,530.72
  6. Step 6: Final answer
    x = 8,608.56

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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.