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Finding the Fourth Proportional to 27,855.85, 41,778.99 and 7,866.73

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Solution

The fourth proportional to 27,855.85, 41,778.99 and 7,866.73 is: 11,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.85 : 41,778.99 = 7,866.73 : x
  2. Step 2: Convert to fraction form
    27,855.85/41,778.99 = 7,866.73/x
  3. Step 3: Cross multiply
    27,855.85x = 41,778.99 × 7,866.73
  4. Step 4: Simplify right side
    27,855.85x = 328,664,034.00
  5. Step 5: Solve for x
    x = 328,664,034.00/27,855.85
  6. Step 6: Final answer
    x = 11,798.74

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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.