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Finding the Fourth Proportional to 6,814, 10,221 and 1,950

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Solution

The fourth proportional to 6,814, 10,221 and 1,950 is: 2,925

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814 : 10,221 = 1,950 : x
  2. Step 2: Convert to fraction form
    6,814/10,221 = 1,950/x
  3. Step 3: Cross multiply
    6,814x = 10,221 × 1,950
  4. Step 4: Simplify right side
    6,814x = 19,930,950
  5. Step 5: Solve for x
    x = 19,930,950/6,814
  6. Step 6: Final answer
    x = 2,925

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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.