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Finding the Fourth Proportional to 2,668.31, 3,992.78 and 1,929.40

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Solution

The fourth proportional to 2,668.31, 3,992.78 and 1,929.40 is: 2,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.31 : 3,992.78 = 1,929.40 : x
  2. Step 2: Convert to fraction form
    2,668.31/3,992.78 = 1,929.40/x
  3. Step 3: Cross multiply
    2,668.31x = 3,992.78 × 1,929.40
  4. Step 4: Simplify right side
    2,668.31x = 7,703,640.12
  5. Step 5: Solve for x
    x = 7,703,640.12/2,668.31
  6. Step 6: Final answer
    x = 2,887.09

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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.