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Finding the Fourth Proportional to 2,078.99, 3,118.52 and 518.97

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Solution

The fourth proportional to 2,078.99, 3,118.52 and 518.97 is: 778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.99 : 3,118.52 = 518.97 : x
  2. Step 2: Convert to fraction form
    2,078.99/3,118.52 = 518.97/x
  3. Step 3: Cross multiply
    2,078.99x = 3,118.52 × 518.97
  4. Step 4: Simplify right side
    2,078.99x = 1,618,418.32
  5. Step 5: Solve for x
    x = 1,618,418.32/2,078.99
  6. Step 6: Final answer
    x = 778.47

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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.