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Finding the Fourth Proportional to 20,647.76, 30,976.12 and 6,796.24

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Solution

The fourth proportional to 20,647.76, 30,976.12 and 6,796.24 is: 10,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.76 : 30,976.12 = 6,796.24 : x
  2. Step 2: Convert to fraction form
    20,647.76/30,976.12 = 6,796.24/x
  3. Step 3: Cross multiply
    20,647.76x = 30,976.12 × 6,796.24
  4. Step 4: Simplify right side
    20,647.76x = 210,521,145.79
  5. Step 5: Solve for x
    x = 210,521,145.79/20,647.76
  6. Step 6: Final answer
    x = 10,195.83

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1.5x scale

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.