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Finding the Fourth Proportional to 22,401, 33,601.50 and 7,809

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Solution

The fourth proportional to 22,401, 33,601.50 and 7,809 is: 11,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,401 : 33,601.50 = 7,809 : x
  2. Step 2: Convert to fraction form
    22,401/33,601.50 = 7,809/x
  3. Step 3: Cross multiply
    22,401x = 33,601.50 × 7,809
  4. Step 4: Simplify right side
    22,401x = 262,394,113.50
  5. Step 5: Solve for x
    x = 262,394,113.50/22,401
  6. Step 6: Final answer
    x = 11,713.50

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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.