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Finding the Fourth Proportional to 22,219, 30,662.30 and 12,147.64

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Solution

The fourth proportional to 22,219, 30,662.30 and 12,147.64 is: 16,763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,219 : 30,662.30 = 12,147.64 : x
  2. Step 2: Convert to fraction form
    22,219/30,662.30 = 12,147.64/x
  3. Step 3: Cross multiply
    22,219x = 30,662.30 × 12,147.64
  4. Step 4: Simplify right side
    22,219x = 372,474,581.97
  5. Step 5: Solve for x
    x = 372,474,581.97/22,219
  6. Step 6: Final answer
    x = 16,763.79

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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.