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Finding the Fourth Proportional to 18,129.97, 27,205.74 and 9,809.82

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Solution

The fourth proportional to 18,129.97, 27,205.74 and 9,809.82 is: 14,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,129.97 : 27,205.74 = 9,809.82 : x
  2. Step 2: Convert to fraction form
    18,129.97/27,205.74 = 9,809.82/x
  3. Step 3: Cross multiply
    18,129.97x = 27,205.74 × 9,809.82
  4. Step 4: Simplify right side
    18,129.97x = 266,883,412.37
  5. Step 5: Solve for x
    x = 266,883,412.37/18,129.97
  6. Step 6: Final answer
    x = 14,720.56

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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.