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Finding the Fourth Proportional to 1,896.93, 2,845.43 and 1,165.20

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Solution

The fourth proportional to 1,896.93, 2,845.43 and 1,165.20 is: 1,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.93 : 2,845.43 = 1,165.20 : x
  2. Step 2: Convert to fraction form
    1,896.93/2,845.43 = 1,165.20/x
  3. Step 3: Cross multiply
    1,896.93x = 2,845.43 × 1,165.20
  4. Step 4: Simplify right side
    1,896.93x = 3,315,489.21
  5. Step 5: Solve for x
    x = 3,315,489.21/1,896.93
  6. Step 6: Final answer
    x = 1,747.82

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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.