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Finding the Fourth Proportional to 13,832.55, 19,086.45 and 7,863.87

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Solution

The fourth proportional to 13,832.55, 19,086.45 and 7,863.87 is: 10,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.55 : 19,086.45 = 7,863.87 : x
  2. Step 2: Convert to fraction form
    13,832.55/19,086.45 = 7,863.87/x
  3. Step 3: Cross multiply
    13,832.55x = 19,086.45 × 7,863.87
  4. Step 4: Simplify right side
    13,832.55x = 150,093,361.56
  5. Step 5: Solve for x
    x = 150,093,361.56/13,832.55
  6. Step 6: Final answer
    x = 10,850.74

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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.