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Finding the Fourth Proportional to 22,008, 30,370.24 and 12,576

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Solution

The fourth proportional to 22,008, 30,370.24 and 12,576 is: 17,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,008 : 30,370.24 = 12,576 : x
  2. Step 2: Convert to fraction form
    22,008/30,370.24 = 12,576/x
  3. Step 3: Cross multiply
    22,008x = 30,370.24 × 12,576
  4. Step 4: Simplify right side
    22,008x = 381,936,138.24
  5. Step 5: Solve for x
    x = 381,936,138.24/22,008
  6. Step 6: Final answer
    x = 17,354.42

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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.