Home / 1,961.44-2,703.76-1,214

Finding the Fourth Proportional to 1,961.44, 2,703.76 and 1,214

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Solution

The fourth proportional to 1,961.44, 2,703.76 and 1,214 is: 1,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.44 : 2,703.76 = 1,214 : x
  2. Step 2: Convert to fraction form
    1,961.44/2,703.76 = 1,214/x
  3. Step 3: Cross multiply
    1,961.44x = 2,703.76 × 1,214
  4. Step 4: Simplify right side
    1,961.44x = 3,282,364.64
  5. Step 5: Solve for x
    x = 3,282,364.64/1,961.44
  6. Step 6: Final answer
    x = 1,673.45

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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.