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Finding the Fourth Proportional to 2,078.90, 3,118.31 and 518.91

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Solution

The fourth proportional to 2,078.90, 3,118.31 and 518.91 is: 778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.90 : 3,118.31 = 518.91 : x
  2. Step 2: Convert to fraction form
    2,078.90/3,118.31 = 518.91/x
  3. Step 3: Cross multiply
    2,078.90x = 3,118.31 × 518.91
  4. Step 4: Simplify right side
    2,078.90x = 1,618,119.65
  5. Step 5: Solve for x
    x = 1,618,119.65/2,078.90
  6. Step 6: Final answer
    x = 778.36

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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.