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Finding the Fourth Proportional to 8,219.74, 12,311.16 and 7,942.95

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Solution

The fourth proportional to 8,219.74, 12,311.16 and 7,942.95 is: 11,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.74 : 12,311.16 = 7,942.95 : x
  2. Step 2: Convert to fraction form
    8,219.74/12,311.16 = 7,942.95/x
  3. Step 3: Cross multiply
    8,219.74x = 12,311.16 × 7,942.95
  4. Step 4: Simplify right side
    8,219.74x = 97,786,928.32
  5. Step 5: Solve for x
    x = 97,786,928.32/8,219.74
  6. Step 6: Final answer
    x = 11,896.60

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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.