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Finding the Fourth Proportional to 8,519.94, 12,768.24 and 6,438.24

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Solution

The fourth proportional to 8,519.94, 12,768.24 and 6,438.24 is: 9,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.94 : 12,768.24 = 6,438.24 : x
  2. Step 2: Convert to fraction form
    8,519.94/12,768.24 = 6,438.24/x
  3. Step 3: Cross multiply
    8,519.94x = 12,768.24 × 6,438.24
  4. Step 4: Simplify right side
    8,519.94x = 82,204,993.50
  5. Step 5: Solve for x
    x = 82,204,993.50/8,519.94
  6. Step 6: Final answer
    x = 9,648.54

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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.