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Finding the Fourth Proportional to 12,422.94, 18,643.05 and 8,029.50

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Solution

The fourth proportional to 12,422.94, 18,643.05 and 8,029.50 is: 12,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.94 : 18,643.05 = 8,029.50 : x
  2. Step 2: Convert to fraction form
    12,422.94/18,643.05 = 8,029.50/x
  3. Step 3: Cross multiply
    12,422.94x = 18,643.05 × 8,029.50
  4. Step 4: Simplify right side
    12,422.94x = 149,694,369.98
  5. Step 5: Solve for x
    x = 149,694,369.98/12,422.94
  6. Step 6: Final answer
    x = 12,049.83

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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.