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Finding the Fourth Proportional to 1,896.64, 2,845.92 and 743.04

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Solution

The fourth proportional to 1,896.64, 2,845.92 and 743.04 is: 1,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.64 : 2,845.92 = 743.04 : x
  2. Step 2: Convert to fraction form
    1,896.64/2,845.92 = 743.04/x
  3. Step 3: Cross multiply
    1,896.64x = 2,845.92 × 743.04
  4. Step 4: Simplify right side
    1,896.64x = 2,114,632.40
  5. Step 5: Solve for x
    x = 2,114,632.40/1,896.64
  6. Step 6: Final answer
    x = 1,114.94

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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.