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Finding the Fourth Proportional to 6,469.20, 8,922.84 and 3,814.73

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Solution

The fourth proportional to 6,469.20, 8,922.84 and 3,814.73 is: 5,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.20 : 8,922.84 = 3,814.73 : x
  2. Step 2: Convert to fraction form
    6,469.20/8,922.84 = 3,814.73/x
  3. Step 3: Cross multiply
    6,469.20x = 8,922.84 × 3,814.73
  4. Step 4: Simplify right side
    6,469.20x = 34,038,180.82
  5. Step 5: Solve for x
    x = 34,038,180.82/6,469.20
  6. Step 6: Final answer
    x = 5,261.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.