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Finding the Fourth Proportional to 26,505, 39,728.28 and 17,122.80

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Solution

The fourth proportional to 26,505, 39,728.28 and 17,122.80 is: 25,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,505 : 39,728.28 = 17,122.80 : x
  2. Step 2: Convert to fraction form
    26,505/39,728.28 = 17,122.80/x
  3. Step 3: Cross multiply
    26,505x = 39,728.28 × 17,122.80
  4. Step 4: Simplify right side
    26,505x = 680,259,392.78
  5. Step 5: Solve for x
    x = 680,259,392.78/26,505
  6. Step 6: Final answer
    x = 25,665.32

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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.