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Finding the Fourth Proportional to 3,404.50, 4,698.19 and 1,989.16

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Solution

The fourth proportional to 3,404.50, 4,698.19 and 1,989.16 is: 2,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.50 : 4,698.19 = 1,989.16 : x
  2. Step 2: Convert to fraction form
    3,404.50/4,698.19 = 1,989.16/x
  3. Step 3: Cross multiply
    3,404.50x = 4,698.19 × 1,989.16
  4. Step 4: Simplify right side
    3,404.50x = 9,345,451.62
  5. Step 5: Solve for x
    x = 9,345,451.62/3,404.50
  6. Step 6: Final answer
    x = 2,745.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.