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Finding the Fourth Proportional to 1,961.85, 2,940.94 and 1,345.85

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Solution

The fourth proportional to 1,961.85, 2,940.94 and 1,345.85 is: 2,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.85 : 2,940.94 = 1,345.85 : x
  2. Step 2: Convert to fraction form
    1,961.85/2,940.94 = 1,345.85/x
  3. Step 3: Cross multiply
    1,961.85x = 2,940.94 × 1,345.85
  4. Step 4: Simplify right side
    1,961.85x = 3,958,064.10
  5. Step 5: Solve for x
    x = 3,958,064.10/1,961.85
  6. Step 6: Final answer
    x = 2,017.52

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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.