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Finding the Fourth Proportional to 2,619.32, 3,928.96 and 671.52

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Solution

The fourth proportional to 2,619.32, 3,928.96 and 671.52 is: 1,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.32 : 3,928.96 = 671.52 : x
  2. Step 2: Convert to fraction form
    2,619.32/3,928.96 = 671.52/x
  3. Step 3: Cross multiply
    2,619.32x = 3,928.96 × 671.52
  4. Step 4: Simplify right side
    2,619.32x = 2,638,375.22
  5. Step 5: Solve for x
    x = 2,638,375.22/2,619.32
  6. Step 6: Final answer
    x = 1,007.27

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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.