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Finding the Fourth Proportional to 20,469.12, 30,695.04 and 8,776.32

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Solution

The fourth proportional to 20,469.12, 30,695.04 and 8,776.32 is: 13,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.12 : 30,695.04 = 8,776.32 : x
  2. Step 2: Convert to fraction form
    20,469.12/30,695.04 = 8,776.32/x
  3. Step 3: Cross multiply
    20,469.12x = 30,695.04 × 8,776.32
  4. Step 4: Simplify right side
    20,469.12x = 269,389,493.45
  5. Step 5: Solve for x
    x = 269,389,493.45/20,469.12
  6. Step 6: Final answer
    x = 13,160.78

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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.