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Finding the Fourth Proportional to 2,719.31, 4,078.97 and 667.31

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Solution

The fourth proportional to 2,719.31, 4,078.97 and 667.31 is: 1,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.31 : 4,078.97 = 667.31 : x
  2. Step 2: Convert to fraction form
    2,719.31/4,078.97 = 667.31/x
  3. Step 3: Cross multiply
    2,719.31x = 4,078.97 × 667.31
  4. Step 4: Simplify right side
    2,719.31x = 2,721,946.83
  5. Step 5: Solve for x
    x = 2,721,946.83/2,719.31
  6. Step 6: Final answer
    x = 1,000.97

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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.