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Finding the Fourth Proportional to 3,928.97, 5,893.46 and 1,007.28

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Solution

The fourth proportional to 3,928.97, 5,893.46 and 1,007.28 is: 1,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.97 : 5,893.46 = 1,007.28 : x
  2. Step 2: Convert to fraction form
    3,928.97/5,893.46 = 1,007.28/x
  3. Step 3: Cross multiply
    3,928.97x = 5,893.46 × 1,007.28
  4. Step 4: Simplify right side
    3,928.97x = 5,936,359.35
  5. Step 5: Solve for x
    x = 5,936,359.35/3,928.97
  6. Step 6: Final answer
    x = 1,510.92

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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.