Home / 1,962-2,935.44-1,947.96

Finding the Fourth Proportional to 1,962, 2,935.44 and 1,947.96

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Solution

The fourth proportional to 1,962, 2,935.44 and 1,947.96 is: 2,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962 : 2,935.44 = 1,947.96 : x
  2. Step 2: Convert to fraction form
    1,962/2,935.44 = 1,947.96/x
  3. Step 3: Cross multiply
    1,962x = 2,935.44 × 1,947.96
  4. Step 4: Simplify right side
    1,962x = 5,718,119.70
  5. Step 5: Solve for x
    x = 5,718,119.70/1,962
  6. Step 6: Final answer
    x = 2,914.43

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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.