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Finding the Fourth Proportional to 3,949.36, 5,923.80 and 1,640.88

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Solution

The fourth proportional to 3,949.36, 5,923.80 and 1,640.88 is: 2,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.36 : 5,923.80 = 1,640.88 : x
  2. Step 2: Convert to fraction form
    3,949.36/5,923.80 = 1,640.88/x
  3. Step 3: Cross multiply
    3,949.36x = 5,923.80 × 1,640.88
  4. Step 4: Simplify right side
    3,949.36x = 9,720,244.94
  5. Step 5: Solve for x
    x = 9,720,244.94/3,949.36
  6. Step 6: Final answer
    x = 2,461.22

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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.