Home / 4,114.82-6,172.32-1,650.80

Finding the Fourth Proportional to 4,114.82, 6,172.32 and 1,650.80

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Solution

The fourth proportional to 4,114.82, 6,172.32 and 1,650.80 is: 2,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.82 : 6,172.32 = 1,650.80 : x
  2. Step 2: Convert to fraction form
    4,114.82/6,172.32 = 1,650.80/x
  3. Step 3: Cross multiply
    4,114.82x = 6,172.32 × 1,650.80
  4. Step 4: Simplify right side
    4,114.82x = 10,189,265.86
  5. Step 5: Solve for x
    x = 10,189,265.86/4,114.82
  6. Step 6: Final answer
    x = 2,476.24

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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.