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Finding the Fourth Proportional to 20,622, 30,939.12 and 11,863.20

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Solution

The fourth proportional to 20,622, 30,939.12 and 11,863.20 is: 17,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,622 : 30,939.12 = 11,863.20 : x
  2. Step 2: Convert to fraction form
    20,622/30,939.12 = 11,863.20/x
  3. Step 3: Cross multiply
    20,622x = 30,939.12 × 11,863.20
  4. Step 4: Simplify right side
    20,622x = 367,036,968.38
  5. Step 5: Solve for x
    x = 367,036,968.38/20,622
  6. Step 6: Final answer
    x = 17,798.32

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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.