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Finding the Fourth Proportional to 13,446, 18,550.41 and 8,339.13

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Solution

The fourth proportional to 13,446, 18,550.41 and 8,339.13 is: 11,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446 : 18,550.41 = 8,339.13 : x
  2. Step 2: Convert to fraction form
    13,446/18,550.41 = 8,339.13/x
  3. Step 3: Cross multiply
    13,446x = 18,550.41 × 8,339.13
  4. Step 4: Simplify right side
    13,446x = 154,694,280.54
  5. Step 5: Solve for x
    x = 154,694,280.54/13,446
  6. Step 6: Final answer
    x = 11,504.86

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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.