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Finding the Fourth Proportional to 27,842.40, 41,770.44 and 8,121.15

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Solution

The fourth proportional to 27,842.40, 41,770.44 and 8,121.15 is: 12,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.40 : 41,770.44 = 8,121.15 : x
  2. Step 2: Convert to fraction form
    27,842.40/41,770.44 = 8,121.15/x
  3. Step 3: Cross multiply
    27,842.40x = 41,770.44 × 8,121.15
  4. Step 4: Simplify right side
    27,842.40x = 339,224,008.81
  5. Step 5: Solve for x
    x = 339,224,008.81/27,842.40
  6. Step 6: Final answer
    x = 12,183.72

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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.