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Finding the Fourth Proportional to 13,711.56, 18,912.33 and 8,408.49

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Solution

The fourth proportional to 13,711.56, 18,912.33 and 8,408.49 is: 11,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.56 : 18,912.33 = 8,408.49 : x
  2. Step 2: Convert to fraction form
    13,711.56/18,912.33 = 8,408.49/x
  3. Step 3: Cross multiply
    13,711.56x = 18,912.33 × 8,408.49
  4. Step 4: Simplify right side
    13,711.56x = 159,024,137.68
  5. Step 5: Solve for x
    x = 159,024,137.68/13,711.56
  6. Step 6: Final answer
    x = 11,597.82

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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.