Home / 1,961.28-2,705.44-1,224

Finding the Fourth Proportional to 1,961.28, 2,705.44 and 1,224

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Solution

The fourth proportional to 1,961.28, 2,705.44 and 1,224 is: 1,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.28 : 2,705.44 = 1,224 : x
  2. Step 2: Convert to fraction form
    1,961.28/2,705.44 = 1,224/x
  3. Step 3: Cross multiply
    1,961.28x = 2,705.44 × 1,224
  4. Step 4: Simplify right side
    1,961.28x = 3,311,458.56
  5. Step 5: Solve for x
    x = 3,311,458.56/1,961.28
  6. Step 6: Final answer
    x = 1,688.42

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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.