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Finding the Fourth Proportional to 20,122.07, 30,183.08 and 7,642.07

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Solution

The fourth proportional to 20,122.07, 30,183.08 and 7,642.07 is: 11,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.07 : 30,183.08 = 7,642.07 : x
  2. Step 2: Convert to fraction form
    20,122.07/30,183.08 = 7,642.07/x
  3. Step 3: Cross multiply
    20,122.07x = 30,183.08 × 7,642.07
  4. Step 4: Simplify right side
    20,122.07x = 230,661,200.62
  5. Step 5: Solve for x
    x = 230,661,200.62/20,122.07
  6. Step 6: Final answer
    x = 11,463.10

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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.