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Finding the Fourth Proportional to 25,633.64, 38,450.78 and 8,105

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Solution

The fourth proportional to 25,633.64, 38,450.78 and 8,105 is: 12,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,633.64 : 38,450.78 = 8,105 : x
  2. Step 2: Convert to fraction form
    25,633.64/38,450.78 = 8,105/x
  3. Step 3: Cross multiply
    25,633.64x = 38,450.78 × 8,105
  4. Step 4: Simplify right side
    25,633.64x = 311,643,571.90
  5. Step 5: Solve for x
    x = 311,643,571.90/25,633.64
  6. Step 6: Final answer
    x = 12,157.60

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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.