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Finding the Fourth Proportional to 6,311.44, 8,709.74 and 3,478.81

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Solution

The fourth proportional to 6,311.44, 8,709.74 and 3,478.81 is: 4,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.44 : 8,709.74 = 3,478.81 : x
  2. Step 2: Convert to fraction form
    6,311.44/8,709.74 = 3,478.81/x
  3. Step 3: Cross multiply
    6,311.44x = 8,709.74 × 3,478.81
  4. Step 4: Simplify right side
    6,311.44x = 30,299,491.44
  5. Step 5: Solve for x
    x = 30,299,491.44/6,311.44
  6. Step 6: Final answer
    x = 4,800.73

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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.