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Finding the Fourth Proportional to 20,508.68, 30,768.42 and 6,469.22

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Solution

The fourth proportional to 20,508.68, 30,768.42 and 6,469.22 is: 9,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.68 : 30,768.42 = 6,469.22 : x
  2. Step 2: Convert to fraction form
    20,508.68/30,768.42 = 6,469.22/x
  3. Step 3: Cross multiply
    20,508.68x = 30,768.42 × 6,469.22
  4. Step 4: Simplify right side
    20,508.68x = 199,047,678.03
  5. Step 5: Solve for x
    x = 199,047,678.03/20,508.68
  6. Step 6: Final answer
    x = 9,705.53

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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.