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Finding the Fourth Proportional to 20,223, 30,334.50 and 5,631

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Solution

The fourth proportional to 20,223, 30,334.50 and 5,631 is: 8,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223 : 30,334.50 = 5,631 : x
  2. Step 2: Convert to fraction form
    20,223/30,334.50 = 5,631/x
  3. Step 3: Cross multiply
    20,223x = 30,334.50 × 5,631
  4. Step 4: Simplify right side
    20,223x = 170,813,569.50
  5. Step 5: Solve for x
    x = 170,813,569.50/20,223
  6. Step 6: Final answer
    x = 8,446.50

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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.