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Finding the Fourth Proportional to 27,978.42, 41,919.21 and 19,642.62

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Solution

The fourth proportional to 27,978.42, 41,919.21 and 19,642.62 is: 29,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.42 : 41,919.21 = 19,642.62 : x
  2. Step 2: Convert to fraction form
    27,978.42/41,919.21 = 19,642.62/x
  3. Step 3: Cross multiply
    27,978.42x = 41,919.21 × 19,642.62
  4. Step 4: Simplify right side
    27,978.42x = 823,403,112.73
  5. Step 5: Solve for x
    x = 823,403,112.73/27,978.42
  6. Step 6: Final answer
    x = 29,429.94

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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.