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Finding the Fourth Proportional to 2,078.67, 3,118.04 and 518.67

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Solution

The fourth proportional to 2,078.67, 3,118.04 and 518.67 is: 778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.67 : 3,118.04 = 518.67 : x
  2. Step 2: Convert to fraction form
    2,078.67/3,118.04 = 518.67/x
  3. Step 3: Cross multiply
    2,078.67x = 3,118.04 × 518.67
  4. Step 4: Simplify right side
    2,078.67x = 1,617,231.21
  5. Step 5: Solve for x
    x = 1,617,231.21/2,078.67
  6. Step 6: Final answer
    x = 778.01

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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.