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Finding the Fourth Proportional to 2,731.09, 4,096.64 and 679.09

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Solution

The fourth proportional to 2,731.09, 4,096.64 and 679.09 is: 1,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.09 : 4,096.64 = 679.09 : x
  2. Step 2: Convert to fraction form
    2,731.09/4,096.64 = 679.09/x
  3. Step 3: Cross multiply
    2,731.09x = 4,096.64 × 679.09
  4. Step 4: Simplify right side
    2,731.09x = 2,781,987.26
  5. Step 5: Solve for x
    x = 2,781,987.26/2,731.09
  6. Step 6: Final answer
    x = 1,018.64

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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.