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Finding the Fourth Proportional to 3,915.64, 5,878.73 and 3,874.33

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Solution

The fourth proportional to 3,915.64, 5,878.73 and 3,874.33 is: 5,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.64 : 5,878.73 = 3,874.33 : x
  2. Step 2: Convert to fraction form
    3,915.64/5,878.73 = 3,874.33/x
  3. Step 3: Cross multiply
    3,915.64x = 5,878.73 × 3,874.33
  4. Step 4: Simplify right side
    3,915.64x = 22,776,135.24
  5. Step 5: Solve for x
    x = 22,776,135.24/3,915.64
  6. Step 6: Final answer
    x = 5,816.71

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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.