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Finding the Fourth Proportional to 18,186, 27,285.40 and 8,958.48

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Solution

The fourth proportional to 18,186, 27,285.40 and 8,958.48 is: 13,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,186 : 27,285.40 = 8,958.48 : x
  2. Step 2: Convert to fraction form
    18,186/27,285.40 = 8,958.48/x
  3. Step 3: Cross multiply
    18,186x = 27,285.40 × 8,958.48
  4. Step 4: Simplify right side
    18,186x = 244,435,710.19
  5. Step 5: Solve for x
    x = 244,435,710.19/18,186
  6. Step 6: Final answer
    x = 13,440.87

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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.