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Finding the Fourth Proportional to 22,489, 33,733.50 and 6,073

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Solution

The fourth proportional to 22,489, 33,733.50 and 6,073 is: 9,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489 : 33,733.50 = 6,073 : x
  2. Step 2: Convert to fraction form
    22,489/33,733.50 = 6,073/x
  3. Step 3: Cross multiply
    22,489x = 33,733.50 × 6,073
  4. Step 4: Simplify right side
    22,489x = 204,863,545.50
  5. Step 5: Solve for x
    x = 204,863,545.50/22,489
  6. Step 6: Final answer
    x = 9,109.50

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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.