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Finding the Fourth Proportional to 13,809.98, 20,738.66 and 13,186.68

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Solution

The fourth proportional to 13,809.98, 20,738.66 and 13,186.68 is: 19,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.98 : 20,738.66 = 13,186.68 : x
  2. Step 2: Convert to fraction form
    13,809.98/20,738.66 = 13,186.68/x
  3. Step 3: Cross multiply
    13,809.98x = 20,738.66 × 13,186.68
  4. Step 4: Simplify right side
    13,809.98x = 273,474,007.12
  5. Step 5: Solve for x
    x = 273,474,007.12/13,809.98
  6. Step 6: Final answer
    x = 19,802.64

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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.