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Finding the Fourth Proportional to 3,874.88, 5,361.41 and 3,378.55

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Solution

The fourth proportional to 3,874.88, 5,361.41 and 3,378.55 is: 4,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.88 : 5,361.41 = 3,378.55 : x
  2. Step 2: Convert to fraction form
    3,874.88/5,361.41 = 3,378.55/x
  3. Step 3: Cross multiply
    3,874.88x = 5,361.41 × 3,378.55
  4. Step 4: Simplify right side
    3,874.88x = 18,113,791.76
  5. Step 5: Solve for x
    x = 18,113,791.76/3,874.88
  6. Step 6: Final answer
    x = 4,674.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.