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Finding the Fourth Proportional to 6,431.74, 8,872.11 and 3,778.66

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Solution

The fourth proportional to 6,431.74, 8,872.11 and 3,778.66 is: 5,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.74 : 8,872.11 = 3,778.66 : x
  2. Step 2: Convert to fraction form
    6,431.74/8,872.11 = 3,778.66/x
  3. Step 3: Cross multiply
    6,431.74x = 8,872.11 × 3,778.66
  4. Step 4: Simplify right side
    6,431.74x = 33,524,687.17
  5. Step 5: Solve for x
    x = 33,524,687.17/6,431.74
  6. Step 6: Final answer
    x = 5,212.38

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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.