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Finding the Fourth Proportional to 6,226.36, 8,591.36 and 3,871.72

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Solution

The fourth proportional to 6,226.36, 8,591.36 and 3,871.72 is: 5,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.36 : 8,591.36 = 3,871.72 : x
  2. Step 2: Convert to fraction form
    6,226.36/8,591.36 = 3,871.72/x
  3. Step 3: Cross multiply
    6,226.36x = 8,591.36 × 3,871.72
  4. Step 4: Simplify right side
    6,226.36x = 33,263,340.34
  5. Step 5: Solve for x
    x = 33,263,340.34/6,226.36
  6. Step 6: Final answer
    x = 5,342.34

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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.