Home / 1,961.76-2,943.36-1,181.64

Finding the Fourth Proportional to 1,961.76, 2,943.36 and 1,181.64

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Solution

The fourth proportional to 1,961.76, 2,943.36 and 1,181.64 is: 1,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.76 : 2,943.36 = 1,181.64 : x
  2. Step 2: Convert to fraction form
    1,961.76/2,943.36 = 1,181.64/x
  3. Step 3: Cross multiply
    1,961.76x = 2,943.36 × 1,181.64
  4. Step 4: Simplify right side
    1,961.76x = 3,477,991.91
  5. Step 5: Solve for x
    x = 3,477,991.91/1,961.76
  6. Step 6: Final answer
    x = 1,772.89

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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.