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Finding the Fourth Proportional to 8,091.56, 12,144.24 and 3,164.67

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Solution

The fourth proportional to 8,091.56, 12,144.24 and 3,164.67 is: 4,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.56 : 12,144.24 = 3,164.67 : x
  2. Step 2: Convert to fraction form
    8,091.56/12,144.24 = 3,164.67/x
  3. Step 3: Cross multiply
    8,091.56x = 12,144.24 × 3,164.67
  4. Step 4: Simplify right side
    8,091.56x = 38,432,512.00
  5. Step 5: Solve for x
    x = 38,432,512.00/8,091.56
  6. Step 6: Final answer
    x = 4,749.70

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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.