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Finding the Fourth Proportional to 3,380.83, 4,665.83 and 1,964.97

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Solution

The fourth proportional to 3,380.83, 4,665.83 and 1,964.97 is: 2,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.83 : 4,665.83 = 1,964.97 : x
  2. Step 2: Convert to fraction form
    3,380.83/4,665.83 = 1,964.97/x
  3. Step 3: Cross multiply
    3,380.83x = 4,665.83 × 1,964.97
  4. Step 4: Simplify right side
    3,380.83x = 9,168,206.15
  5. Step 5: Solve for x
    x = 9,168,206.15/3,380.83
  6. Step 6: Final answer
    x = 2,711.82

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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.