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Finding the Fourth Proportional to 27,771.65, 41,646.84 and 9,997.21

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Solution

The fourth proportional to 27,771.65, 41,646.84 and 9,997.21 is: 14,991.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.65 : 41,646.84 = 9,997.21 : x
  2. Step 2: Convert to fraction form
    27,771.65/41,646.84 = 9,997.21/x
  3. Step 3: Cross multiply
    27,771.65x = 41,646.84 × 9,997.21
  4. Step 4: Simplify right side
    27,771.65x = 416,352,205.32
  5. Step 5: Solve for x
    x = 416,352,205.32/27,771.65
  6. Step 6: Final answer
    x = 14,991.99

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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.