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Finding the Fourth Proportional to 27,861.12, 41,795.84 and 8,137.12

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Solution

The fourth proportional to 27,861.12, 41,795.84 and 8,137.12 is: 12,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,861.12 : 41,795.84 = 8,137.12 : x
  2. Step 2: Convert to fraction form
    27,861.12/41,795.84 = 8,137.12/x
  3. Step 3: Cross multiply
    27,861.12x = 41,795.84 × 8,137.12
  4. Step 4: Simplify right side
    27,861.12x = 340,097,765.58
  5. Step 5: Solve for x
    x = 340,097,765.58/27,861.12
  6. Step 6: Final answer
    x = 12,206.89

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1.5x scale

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.