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Finding the Fourth Proportional to 27,774, 41,661 and 6,997.50

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Solution

The fourth proportional to 27,774, 41,661 and 6,997.50 is: 10,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774 : 41,661 = 6,997.50 : x
  2. Step 2: Convert to fraction form
    27,774/41,661 = 6,997.50/x
  3. Step 3: Cross multiply
    27,774x = 41,661 × 6,997.50
  4. Step 4: Simplify right side
    27,774x = 291,522,847.50
  5. Step 5: Solve for x
    x = 291,522,847.50/27,774
  6. Step 6: Final answer
    x = 10,496.25

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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.