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Finding the Fourth Proportional to 27,978.12, 41,974.44 and 12,392.04

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Solution

The fourth proportional to 27,978.12, 41,974.44 and 12,392.04 is: 18,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.12 : 41,974.44 = 12,392.04 : x
  2. Step 2: Convert to fraction form
    27,978.12/41,974.44 = 12,392.04/x
  3. Step 3: Cross multiply
    27,978.12x = 41,974.44 × 12,392.04
  4. Step 4: Simplify right side
    27,978.12x = 520,148,939.46
  5. Step 5: Solve for x
    x = 520,148,939.46/27,978.12
  6. Step 6: Final answer
    x = 18,591.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.