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Finding the Fourth Proportional to 18,486, 27,730.44 and 6,174

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Solution

The fourth proportional to 18,486, 27,730.44 and 6,174 is: 9,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,486 : 27,730.44 = 6,174 : x
  2. Step 2: Convert to fraction form
    18,486/27,730.44 = 6,174/x
  3. Step 3: Cross multiply
    18,486x = 27,730.44 × 6,174
  4. Step 4: Simplify right side
    18,486x = 171,207,736.56
  5. Step 5: Solve for x
    x = 171,207,736.56/18,486
  6. Step 6: Final answer
    x = 9,261.48

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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.