Home / 1,964.19-2,944.66-809.13

Finding the Fourth Proportional to 1,964.19, 2,944.66 and 809.13

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Solution

The fourth proportional to 1,964.19, 2,944.66 and 809.13 is: 1,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.19 : 2,944.66 = 809.13 : x
  2. Step 2: Convert to fraction form
    1,964.19/2,944.66 = 809.13/x
  3. Step 3: Cross multiply
    1,964.19x = 2,944.66 × 809.13
  4. Step 4: Simplify right side
    1,964.19x = 2,382,596.00
  5. Step 5: Solve for x
    x = 2,382,596.00/1,964.19
  6. Step 6: Final answer
    x = 1,213.02

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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.