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Finding the Fourth Proportional to 2,782.99, 4,175.27 and 1,394.65

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Solution

The fourth proportional to 2,782.99, 4,175.27 and 1,394.65 is: 2,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.99 : 4,175.27 = 1,394.65 : x
  2. Step 2: Convert to fraction form
    2,782.99/4,175.27 = 1,394.65/x
  3. Step 3: Cross multiply
    2,782.99x = 4,175.27 × 1,394.65
  4. Step 4: Simplify right side
    2,782.99x = 5,823,040.31
  5. Step 5: Solve for x
    x = 5,823,040.31/2,782.99
  6. Step 6: Final answer
    x = 2,092.37

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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.