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Finding the Fourth Proportional to 11,938, 16,474.44 and 8,218.48

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Solution

The fourth proportional to 11,938, 16,474.44 and 8,218.48 is: 11,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938 : 16,474.44 = 8,218.48 : x
  2. Step 2: Convert to fraction form
    11,938/16,474.44 = 8,218.48/x
  3. Step 3: Cross multiply
    11,938x = 16,474.44 × 8,218.48
  4. Step 4: Simplify right side
    11,938x = 135,394,855.65
  5. Step 5: Solve for x
    x = 135,394,855.65/11,938
  6. Step 6: Final answer
    x = 11,341.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.