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Finding the Fourth Proportional to 2,743.44, 4,112.98 and 988.14

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Solution

The fourth proportional to 2,743.44, 4,112.98 and 988.14 is: 1,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.44 : 4,112.98 = 988.14 : x
  2. Step 2: Convert to fraction form
    2,743.44/4,112.98 = 988.14/x
  3. Step 3: Cross multiply
    2,743.44x = 4,112.98 × 988.14
  4. Step 4: Simplify right side
    2,743.44x = 4,064,200.06
  5. Step 5: Solve for x
    x = 4,064,200.06/2,743.44
  6. Step 6: Final answer
    x = 1,481.42

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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.