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Finding the Fourth Proportional to 26,961, 40,396.78 and 16,399.06

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Solution

The fourth proportional to 26,961, 40,396.78 and 16,399.06 is: 24,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,961 : 40,396.78 = 16,399.06 : x
  2. Step 2: Convert to fraction form
    26,961/40,396.78 = 16,399.06/x
  3. Step 3: Cross multiply
    26,961x = 40,396.78 × 16,399.06
  4. Step 4: Simplify right side
    26,961x = 662,469,219.03
  5. Step 5: Solve for x
    x = 662,469,219.03/26,961
  6. Step 6: Final answer
    x = 24,571.39

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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.