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Finding the Fourth Proportional to 1,961.47, 2,703.14 and 1,912.87

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Solution

The fourth proportional to 1,961.47, 2,703.14 and 1,912.87 is: 2,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.47 : 2,703.14 = 1,912.87 : x
  2. Step 2: Convert to fraction form
    1,961.47/2,703.14 = 1,912.87/x
  3. Step 3: Cross multiply
    1,961.47x = 2,703.14 × 1,912.87
  4. Step 4: Simplify right side
    1,961.47x = 5,170,745.85
  5. Step 5: Solve for x
    x = 5,170,745.85/1,961.47
  6. Step 6: Final answer
    x = 2,636.16

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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.