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Finding the Fourth Proportional to 2,619.09, 3,928.91 and 671.31

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Solution

The fourth proportional to 2,619.09, 3,928.91 and 671.31 is: 1,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.09 : 3,928.91 = 671.31 : x
  2. Step 2: Convert to fraction form
    2,619.09/3,928.91 = 671.31/x
  3. Step 3: Cross multiply
    2,619.09x = 3,928.91 × 671.31
  4. Step 4: Simplify right side
    2,619.09x = 2,637,513.22
  5. Step 5: Solve for x
    x = 2,637,513.22/2,619.09
  6. Step 6: Final answer
    x = 1,007.03

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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.