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Finding the Fourth Proportional to 8,183, 12,258.06 and 6,212.12

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Solution

The fourth proportional to 8,183, 12,258.06 and 6,212.12 is: 9,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183 : 12,258.06 = 6,212.12 : x
  2. Step 2: Convert to fraction form
    8,183/12,258.06 = 6,212.12/x
  3. Step 3: Cross multiply
    8,183x = 12,258.06 × 6,212.12
  4. Step 4: Simplify right side
    8,183x = 76,148,539.69
  5. Step 5: Solve for x
    x = 76,148,539.69/8,183
  6. Step 6: Final answer
    x = 9,305.70

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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.