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Finding the Fourth Proportional to 8,212, 12,318 and 2,056

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Solution

The fourth proportional to 8,212, 12,318 and 2,056 is: 3,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212 : 12,318 = 2,056 : x
  2. Step 2: Convert to fraction form
    8,212/12,318 = 2,056/x
  3. Step 3: Cross multiply
    8,212x = 12,318 × 2,056
  4. Step 4: Simplify right side
    8,212x = 25,325,808
  5. Step 5: Solve for x
    x = 25,325,808/8,212
  6. Step 6: Final answer
    x = 3,084

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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.