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Finding the Fourth Proportional to 6,170.36, 8,512.14 and 3,811.64

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Solution

The fourth proportional to 6,170.36, 8,512.14 and 3,811.64 is: 5,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.36 : 8,512.14 = 3,811.64 : x
  2. Step 2: Convert to fraction form
    6,170.36/8,512.14 = 3,811.64/x
  3. Step 3: Cross multiply
    6,170.36x = 8,512.14 × 3,811.64
  4. Step 4: Simplify right side
    6,170.36x = 32,445,213.31
  5. Step 5: Solve for x
    x = 32,445,213.31/6,170.36
  6. Step 6: Final answer
    x = 5,258.24

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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.