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Finding the Fourth Proportional to 8,511.86, 12,768.06 and 3,245.24

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Solution

The fourth proportional to 8,511.86, 12,768.06 and 3,245.24 is: 4,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.86 : 12,768.06 = 3,245.24 : x
  2. Step 2: Convert to fraction form
    8,511.86/12,768.06 = 3,245.24/x
  3. Step 3: Cross multiply
    8,511.86x = 12,768.06 × 3,245.24
  4. Step 4: Simplify right side
    8,511.86x = 41,435,419.03
  5. Step 5: Solve for x
    x = 41,435,419.03/8,511.86
  6. Step 6: Final answer
    x = 4,867.96

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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.