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Finding the Fourth Proportional to 1,928.74, 2,893.11 and 1,107.53

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Solution

The fourth proportional to 1,928.74, 2,893.11 and 1,107.53 is: 1,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.74 : 2,893.11 = 1,107.53 : x
  2. Step 2: Convert to fraction form
    1,928.74/2,893.11 = 1,107.53/x
  3. Step 3: Cross multiply
    1,928.74x = 2,893.11 × 1,107.53
  4. Step 4: Simplify right side
    1,928.74x = 3,204,200.58
  5. Step 5: Solve for x
    x = 3,204,200.58/1,928.74
  6. Step 6: Final answer
    x = 1,661.30

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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.