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Finding the Fourth Proportional to 8,143.70, 12,211.83 and 3,212.46

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Solution

The fourth proportional to 8,143.70, 12,211.83 and 3,212.46 is: 4,817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.70 : 12,211.83 = 3,212.46 : x
  2. Step 2: Convert to fraction form
    8,143.70/12,211.83 = 3,212.46/x
  3. Step 3: Cross multiply
    8,143.70x = 12,211.83 × 3,212.46
  4. Step 4: Simplify right side
    8,143.70x = 39,230,015.40
  5. Step 5: Solve for x
    x = 39,230,015.40/8,143.70
  6. Step 6: Final answer
    x = 4,817.23

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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.