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Finding the Fourth Proportional to 7,915.33, 11,873 and 3,531.61

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Solution

The fourth proportional to 7,915.33, 11,873 and 3,531.61 is: 5,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.33 : 11,873 = 3,531.61 : x
  2. Step 2: Convert to fraction form
    7,915.33/11,873 = 3,531.61/x
  3. Step 3: Cross multiply
    7,915.33x = 11,873 × 3,531.61
  4. Step 4: Simplify right side
    7,915.33x = 41,930,805.53
  5. Step 5: Solve for x
    x = 41,930,805.53/7,915.33
  6. Step 6: Final answer
    x = 5,297.42

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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.