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Finding the Fourth Proportional to 20,189.52, 30,289.32 and 7,042

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Solution

The fourth proportional to 20,189.52, 30,289.32 and 7,042 is: 10,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.52 : 30,289.32 = 7,042 : x
  2. Step 2: Convert to fraction form
    20,189.52/30,289.32 = 7,042/x
  3. Step 3: Cross multiply
    20,189.52x = 30,289.32 × 7,042
  4. Step 4: Simplify right side
    20,189.52x = 213,297,391.44
  5. Step 5: Solve for x
    x = 213,297,391.44/20,189.52
  6. Step 6: Final answer
    x = 10,564.76

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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.