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Finding the Fourth Proportional to 8,406.44, 12,611.47 and 4,191.99

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Solution

The fourth proportional to 8,406.44, 12,611.47 and 4,191.99 is: 6,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.44 : 12,611.47 = 4,191.99 : x
  2. Step 2: Convert to fraction form
    8,406.44/12,611.47 = 4,191.99/x
  3. Step 3: Cross multiply
    8,406.44x = 12,611.47 × 4,191.99
  4. Step 4: Simplify right side
    8,406.44x = 52,867,072.11
  5. Step 5: Solve for x
    x = 52,867,072.11/8,406.44
  6. Step 6: Final answer
    x = 6,288.88

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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.