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Finding the Fourth Proportional to 1,968.91, 2,719.17 and 1,673.66

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Solution

The fourth proportional to 1,968.91, 2,719.17 and 1,673.66 is: 2,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.91 : 2,719.17 = 1,673.66 : x
  2. Step 2: Convert to fraction form
    1,968.91/2,719.17 = 1,673.66/x
  3. Step 3: Cross multiply
    1,968.91x = 2,719.17 × 1,673.66
  4. Step 4: Simplify right side
    1,968.91x = 4,550,972.86
  5. Step 5: Solve for x
    x = 4,550,972.86/1,968.91
  6. Step 6: Final answer
    x = 2,311.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.