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Finding the Fourth Proportional to 3,738.40, 5,635.97 and 3,738.40

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Solution

The fourth proportional to 3,738.40, 5,635.97 and 3,738.40 is: 5,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.40 : 5,635.97 = 3,738.40 : x
  2. Step 2: Convert to fraction form
    3,738.40/5,635.97 = 3,738.40/x
  3. Step 3: Cross multiply
    3,738.40x = 5,635.97 × 3,738.40
  4. Step 4: Simplify right side
    3,738.40x = 21,069,517.93
  5. Step 5: Solve for x
    x = 21,069,517.93/3,738.40
  6. Step 6: Final answer
    x = 5,635.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.