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Finding the Fourth Proportional to 3,738.90, 5,608.67 and 965.55

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Solution

The fourth proportional to 3,738.90, 5,608.67 and 965.55 is: 1,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.90 : 5,608.67 = 965.55 : x
  2. Step 2: Convert to fraction form
    3,738.90/5,608.67 = 965.55/x
  3. Step 3: Cross multiply
    3,738.90x = 5,608.67 × 965.55
  4. Step 4: Simplify right side
    3,738.90x = 5,415,446.49
  5. Step 5: Solve for x
    x = 5,415,446.49/3,738.90
  6. Step 6: Final answer
    x = 1,448.41

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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.