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Finding the Fourth Proportional to 3,505.97, 5,255.15 and 1,728.26

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Solution

The fourth proportional to 3,505.97, 5,255.15 and 1,728.26 is: 2,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.97 : 5,255.15 = 1,728.26 : x
  2. Step 2: Convert to fraction form
    3,505.97/5,255.15 = 1,728.26/x
  3. Step 3: Cross multiply
    3,505.97x = 5,255.15 × 1,728.26
  4. Step 4: Simplify right side
    3,505.97x = 9,082,265.54
  5. Step 5: Solve for x
    x = 9,082,265.54/3,505.97
  6. Step 6: Final answer
    x = 2,590.51

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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.