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Finding the Fourth Proportional to 18,285, 27,431.26 and 5,804.75

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Solution

The fourth proportional to 18,285, 27,431.26 and 5,804.75 is: 8,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285 : 27,431.26 = 5,804.75 : x
  2. Step 2: Convert to fraction form
    18,285/27,431.26 = 5,804.75/x
  3. Step 3: Cross multiply
    18,285x = 27,431.26 × 5,804.75
  4. Step 4: Simplify right side
    18,285x = 159,231,606.49
  5. Step 5: Solve for x
    x = 159,231,606.49/18,285
  6. Step 6: Final answer
    x = 8,708.32

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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.