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Finding the Fourth Proportional to 3,640.38, 5,023.72 and 1,984.38

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Solution

The fourth proportional to 3,640.38, 5,023.72 and 1,984.38 is: 2,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.38 : 5,023.72 = 1,984.38 : x
  2. Step 2: Convert to fraction form
    3,640.38/5,023.72 = 1,984.38/x
  3. Step 3: Cross multiply
    3,640.38x = 5,023.72 × 1,984.38
  4. Step 4: Simplify right side
    3,640.38x = 9,968,969.49
  5. Step 5: Solve for x
    x = 9,968,969.49/3,640.38
  6. Step 6: Final answer
    x = 2,738.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.