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Finding the Fourth Proportional to 13,409.19, 20,105.94 and 4,046.40

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Solution

The fourth proportional to 13,409.19, 20,105.94 and 4,046.40 is: 6,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.19 : 20,105.94 = 4,046.40 : x
  2. Step 2: Convert to fraction form
    13,409.19/20,105.94 = 4,046.40/x
  3. Step 3: Cross multiply
    13,409.19x = 20,105.94 × 4,046.40
  4. Step 4: Simplify right side
    13,409.19x = 81,356,554.85
  5. Step 5: Solve for x
    x = 81,356,554.85/13,409.19
  6. Step 6: Final answer
    x = 6,067.23

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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.