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Finding the Fourth Proportional to 14,819, 20,450.86 and 8,195

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Solution

The fourth proportional to 14,819, 20,450.86 and 8,195 is: 11,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819 : 20,450.86 = 8,195 : x
  2. Step 2: Convert to fraction form
    14,819/20,450.86 = 8,195/x
  3. Step 3: Cross multiply
    14,819x = 20,450.86 × 8,195
  4. Step 4: Simplify right side
    14,819x = 167,594,797.70
  5. Step 5: Solve for x
    x = 167,594,797.70/14,819
  6. Step 6: Final answer
    x = 11,309.45

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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.