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Finding the Fourth Proportional to 2,618, 3,928.80 and 1,079

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Solution

The fourth proportional to 2,618, 3,928.80 and 1,079 is: 1,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618 : 3,928.80 = 1,079 : x
  2. Step 2: Convert to fraction form
    2,618/3,928.80 = 1,079/x
  3. Step 3: Cross multiply
    2,618x = 3,928.80 × 1,079
  4. Step 4: Simplify right side
    2,618x = 4,239,175.20
  5. Step 5: Solve for x
    x = 4,239,175.20/2,618
  6. Step 6: Final answer
    x = 1,619.24

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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.