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Finding the Fourth Proportional to 8,406, 12,607.87 and 3,474.96

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Solution

The fourth proportional to 8,406, 12,607.87 and 3,474.96 is: 5,211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406 : 12,607.87 = 3,474.96 : x
  2. Step 2: Convert to fraction form
    8,406/12,607.87 = 3,474.96/x
  3. Step 3: Cross multiply
    8,406x = 12,607.87 × 3,474.96
  4. Step 4: Simplify right side
    8,406x = 43,811,843.94
  5. Step 5: Solve for x
    x = 43,811,843.94/8,406
  6. Step 6: Final answer
    x = 5,211.97

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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.