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Finding the Fourth Proportional to 22,537, 33,820.86 and 7,945

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Solution

The fourth proportional to 22,537, 33,820.86 and 7,945 is: 11,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537 : 33,820.86 = 7,945 : x
  2. Step 2: Convert to fraction form
    22,537/33,820.86 = 7,945/x
  3. Step 3: Cross multiply
    22,537x = 33,820.86 × 7,945
  4. Step 4: Simplify right side
    22,537x = 268,706,732.70
  5. Step 5: Solve for x
    x = 268,706,732.70/22,537
  6. Step 6: Final answer
    x = 11,922.91

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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.