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Finding the Fourth Proportional to 18,205.33, 27,308 and 5,057.71

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Solution

The fourth proportional to 18,205.33, 27,308 and 5,057.71 is: 7,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.33 : 27,308 = 5,057.71 : x
  2. Step 2: Convert to fraction form
    18,205.33/27,308 = 5,057.71/x
  3. Step 3: Cross multiply
    18,205.33x = 27,308 × 5,057.71
  4. Step 4: Simplify right side
    18,205.33x = 138,115,944.68
  5. Step 5: Solve for x
    x = 138,115,944.68/18,205.33
  6. Step 6: Final answer
    x = 7,586.57

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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.