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Finding the Fourth Proportional to 13,193, 19,789.32 and 5,299

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Solution

The fourth proportional to 13,193, 19,789.32 and 5,299 is: 7,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193 : 19,789.32 = 5,299 : x
  2. Step 2: Convert to fraction form
    13,193/19,789.32 = 5,299/x
  3. Step 3: Cross multiply
    13,193x = 19,789.32 × 5,299
  4. Step 4: Simplify right side
    13,193x = 104,863,606.68
  5. Step 5: Solve for x
    x = 104,863,606.68/13,193
  6. Step 6: Final answer
    x = 7,948.43

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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.