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Finding the Fourth Proportional to 3,874.40, 5,811.60 and 3,485.60

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Solution

The fourth proportional to 3,874.40, 5,811.60 and 3,485.60 is: 5,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.40 : 5,811.60 = 3,485.60 : x
  2. Step 2: Convert to fraction form
    3,874.40/5,811.60 = 3,485.60/x
  3. Step 3: Cross multiply
    3,874.40x = 5,811.60 × 3,485.60
  4. Step 4: Simplify right side
    3,874.40x = 20,256,912.96
  5. Step 5: Solve for x
    x = 20,256,912.96/3,874.40
  6. Step 6: Final answer
    x = 5,228.40

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1.5x scale

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.