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Finding the Fourth Proportional to 8,406.45, 12,609.41 and 3,474.63

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Solution

The fourth proportional to 8,406.45, 12,609.41 and 3,474.63 is: 5,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.45 : 12,609.41 = 3,474.63 : x
  2. Step 2: Convert to fraction form
    8,406.45/12,609.41 = 3,474.63/x
  3. Step 3: Cross multiply
    8,406.45x = 12,609.41 × 3,474.63
  4. Step 4: Simplify right side
    8,406.45x = 43,813,016.90
  5. Step 5: Solve for x
    x = 43,813,016.90/8,406.45
  6. Step 6: Final answer
    x = 5,211.83

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1.5x scale

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.