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Finding the Fourth Proportional to 18,280.70, 27,399 and 8,406.44

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Solution

The fourth proportional to 18,280.70, 27,399 and 8,406.44 is: 12,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280.70 : 27,399 = 8,406.44 : x
  2. Step 2: Convert to fraction form
    18,280.70/27,399 = 8,406.44/x
  3. Step 3: Cross multiply
    18,280.70x = 27,399 × 8,406.44
  4. Step 4: Simplify right side
    18,280.70x = 230,328,049.56
  5. Step 5: Solve for x
    x = 230,328,049.56/18,280.70
  6. Step 6: Final answer
    x = 12,599.52

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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.