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Finding the Fourth Proportional to 20,163.12, 30,200.94 and 9,753

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Solution

The fourth proportional to 20,163.12, 30,200.94 and 9,753 is: 14,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.12 : 30,200.94 = 9,753 : x
  2. Step 2: Convert to fraction form
    20,163.12/30,200.94 = 9,753/x
  3. Step 3: Cross multiply
    20,163.12x = 30,200.94 × 9,753
  4. Step 4: Simplify right side
    20,163.12x = 294,549,767.82
  5. Step 5: Solve for x
    x = 294,549,767.82/20,163.12
  6. Step 6: Final answer
    x = 14,608.34

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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.