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Finding the Fourth Proportional to 22,119.50, 30,524.91 and 12,183.50

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Solution

The fourth proportional to 22,119.50, 30,524.91 and 12,183.50 is: 16,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,119.50 : 30,524.91 = 12,183.50 : x
  2. Step 2: Convert to fraction form
    22,119.50/30,524.91 = 12,183.50/x
  3. Step 3: Cross multiply
    22,119.50x = 30,524.91 × 12,183.50
  4. Step 4: Simplify right side
    22,119.50x = 371,900,240.99
  5. Step 5: Solve for x
    x = 371,900,240.99/22,119.50
  6. Step 6: Final answer
    x = 16,813.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.