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Finding the Fourth Proportional to 18,546, 27,822.51 and 7,453.56

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Solution

The fourth proportional to 18,546, 27,822.51 and 7,453.56 is: 11,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546 : 27,822.51 = 7,453.56 : x
  2. Step 2: Convert to fraction form
    18,546/27,822.51 = 7,453.56/x
  3. Step 3: Cross multiply
    18,546x = 27,822.51 × 7,453.56
  4. Step 4: Simplify right side
    18,546x = 207,376,747.64
  5. Step 5: Solve for x
    x = 207,376,747.64/18,546
  6. Step 6: Final answer
    x = 11,181.75

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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.