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Finding the Fourth Proportional to 8,530.08, 12,778.08 and 5,249.56

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Solution

The fourth proportional to 8,530.08, 12,778.08 and 5,249.56 is: 7,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.08 : 12,778.08 = 5,249.56 : x
  2. Step 2: Convert to fraction form
    8,530.08/12,778.08 = 5,249.56/x
  3. Step 3: Cross multiply
    8,530.08x = 12,778.08 × 5,249.56
  4. Step 4: Simplify right side
    8,530.08x = 67,079,297.64
  5. Step 5: Solve for x
    x = 67,079,297.64/8,530.08
  6. Step 6: Final answer
    x = 7,863.85

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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.