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Finding the Fourth Proportional to 20,042.31, 30,058.91 and 7,563.66

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Solution

The fourth proportional to 20,042.31, 30,058.91 and 7,563.66 is: 11,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.31 : 30,058.91 = 7,563.66 : x
  2. Step 2: Convert to fraction form
    20,042.31/30,058.91 = 7,563.66/x
  3. Step 3: Cross multiply
    20,042.31x = 30,058.91 × 7,563.66
  4. Step 4: Simplify right side
    20,042.31x = 227,355,375.21
  5. Step 5: Solve for x
    x = 227,355,375.21/20,042.31
  6. Step 6: Final answer
    x = 11,343.77

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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.