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Finding the Fourth Proportional to 27,992.67, 41,932.31 and 12,978.65

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Solution

The fourth proportional to 27,992.67, 41,932.31 and 12,978.65 is: 19,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992.67 : 41,932.31 = 12,978.65 : x
  2. Step 2: Convert to fraction form
    27,992.67/41,932.31 = 12,978.65/x
  3. Step 3: Cross multiply
    27,992.67x = 41,932.31 × 12,978.65
  4. Step 4: Simplify right side
    27,992.67x = 544,224,500.63
  5. Step 5: Solve for x
    x = 544,224,500.63/27,992.67
  6. Step 6: Final answer
    x = 19,441.68

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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.