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Finding the Fourth Proportional to 3,380.66, 4,664.49 and 1,983.14

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Solution

The fourth proportional to 3,380.66, 4,664.49 and 1,983.14 is: 2,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.66 : 4,664.49 = 1,983.14 : x
  2. Step 2: Convert to fraction form
    3,380.66/4,664.49 = 1,983.14/x
  3. Step 3: Cross multiply
    3,380.66x = 4,664.49 × 1,983.14
  4. Step 4: Simplify right side
    3,380.66x = 9,250,336.70
  5. Step 5: Solve for x
    x = 9,250,336.70/3,380.66
  6. Step 6: Final answer
    x = 2,736.25

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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.