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Finding the Fourth Proportional to 17,321.92, 25,958.24 and 13,408

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Solution

The fourth proportional to 17,321.92, 25,958.24 and 13,408 is: 20,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,321.92 : 25,958.24 = 13,408 : x
  2. Step 2: Convert to fraction form
    17,321.92/25,958.24 = 13,408/x
  3. Step 3: Cross multiply
    17,321.92x = 25,958.24 × 13,408
  4. Step 4: Simplify right side
    17,321.92x = 348,048,081.92
  5. Step 5: Solve for x
    x = 348,048,081.92/17,321.92
  6. Step 6: Final answer
    x = 20,092.93

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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.