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Finding the Fourth Proportional to 3,915.87, 5,874.08 and 1,450.64

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Solution

The fourth proportional to 3,915.87, 5,874.08 and 1,450.64 is: 2,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.87 : 5,874.08 = 1,450.64 : x
  2. Step 2: Convert to fraction form
    3,915.87/5,874.08 = 1,450.64/x
  3. Step 3: Cross multiply
    3,915.87x = 5,874.08 × 1,450.64
  4. Step 4: Simplify right side
    3,915.87x = 8,521,138.79
  5. Step 5: Solve for x
    x = 8,521,138.79/3,915.87
  6. Step 6: Final answer
    x = 2,176.05

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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.