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Finding the Fourth Proportional to 14,911.94, 20,578.47 and 8,198

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Solution

The fourth proportional to 14,911.94, 20,578.47 and 8,198 is: 11,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.94 : 20,578.47 = 8,198 : x
  2. Step 2: Convert to fraction form
    14,911.94/20,578.47 = 8,198/x
  3. Step 3: Cross multiply
    14,911.94x = 20,578.47 × 8,198
  4. Step 4: Simplify right side
    14,911.94x = 168,702,297.06
  5. Step 5: Solve for x
    x = 168,702,297.06/14,911.94
  6. Step 6: Final answer
    x = 11,313.24

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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.