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Finding the Fourth Proportional to 2,809.80, 4,214.84 and 960.84

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Solution

The fourth proportional to 2,809.80, 4,214.84 and 960.84 is: 1,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.80 : 4,214.84 = 960.84 : x
  2. Step 2: Convert to fraction form
    2,809.80/4,214.84 = 960.84/x
  3. Step 3: Cross multiply
    2,809.80x = 4,214.84 × 960.84
  4. Step 4: Simplify right side
    2,809.80x = 4,049,786.87
  5. Step 5: Solve for x
    x = 4,049,786.87/2,809.80
  6. Step 6: Final answer
    x = 1,441.31

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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.