Home / 3,183.78-4,775.64-1,732.16

Finding the Fourth Proportional to 3,183.78, 4,775.64 and 1,732.16

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Solution

The fourth proportional to 3,183.78, 4,775.64 and 1,732.16 is: 2,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.78 : 4,775.64 = 1,732.16 : x
  2. Step 2: Convert to fraction form
    3,183.78/4,775.64 = 1,732.16/x
  3. Step 3: Cross multiply
    3,183.78x = 4,775.64 × 1,732.16
  4. Step 4: Simplify right side
    3,183.78x = 8,272,148.70
  5. Step 5: Solve for x
    x = 8,272,148.70/3,183.78
  6. Step 6: Final answer
    x = 2,598.22

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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.