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Finding the Fourth Proportional to 14,491.28, 19,998.40 and 8,204

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Solution

The fourth proportional to 14,491.28, 19,998.40 and 8,204 is: 11,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.28 : 19,998.40 = 8,204 : x
  2. Step 2: Convert to fraction form
    14,491.28/19,998.40 = 8,204/x
  3. Step 3: Cross multiply
    14,491.28x = 19,998.40 × 8,204
  4. Step 4: Simplify right side
    14,491.28x = 164,066,873.60
  5. Step 5: Solve for x
    x = 164,066,873.60/14,491.28
  6. Step 6: Final answer
    x = 11,321.77

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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.