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Finding the Fourth Proportional to 6,311.05, 8,709.12 and 3,478.68

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Solution

The fourth proportional to 6,311.05, 8,709.12 and 3,478.68 is: 4,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.05 : 8,709.12 = 3,478.68 : x
  2. Step 2: Convert to fraction form
    6,311.05/8,709.12 = 3,478.68/x
  3. Step 3: Cross multiply
    6,311.05x = 8,709.12 × 3,478.68
  4. Step 4: Simplify right side
    6,311.05x = 30,296,241.56
  5. Step 5: Solve for x
    x = 30,296,241.56/6,311.05
  6. Step 6: Final answer
    x = 4,800.51

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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.