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Finding the Fourth Proportional to 3,182.16, 4,768.11 and 1,722

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Solution

The fourth proportional to 3,182.16, 4,768.11 and 1,722 is: 2,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.16 : 4,768.11 = 1,722 : x
  2. Step 2: Convert to fraction form
    3,182.16/4,768.11 = 1,722/x
  3. Step 3: Cross multiply
    3,182.16x = 4,768.11 × 1,722
  4. Step 4: Simplify right side
    3,182.16x = 8,210,685.42
  5. Step 5: Solve for x
    x = 8,210,685.42/3,182.16
  6. Step 6: Final answer
    x = 2,580.22

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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.