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Finding the Fourth Proportional to 3,182.99, 4,775.43 and 1,721.75

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Solution

The fourth proportional to 3,182.99, 4,775.43 and 1,721.75 is: 2,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.99 : 4,775.43 = 1,721.75 : x
  2. Step 2: Convert to fraction form
    3,182.99/4,775.43 = 1,721.75/x
  3. Step 3: Cross multiply
    3,182.99x = 4,775.43 × 1,721.75
  4. Step 4: Simplify right side
    3,182.99x = 8,222,096.60
  5. Step 5: Solve for x
    x = 8,222,096.60/3,182.99
  6. Step 6: Final answer
    x = 2,583.14

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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.