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Finding the Fourth Proportional to 3,166.50, 4,751.73 and 1,523.22

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Solution

The fourth proportional to 3,166.50, 4,751.73 and 1,523.22 is: 2,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.50 : 4,751.73 = 1,523.22 : x
  2. Step 2: Convert to fraction form
    3,166.50/4,751.73 = 1,523.22/x
  3. Step 3: Cross multiply
    3,166.50x = 4,751.73 × 1,523.22
  4. Step 4: Simplify right side
    3,166.50x = 7,237,912.35
  5. Step 5: Solve for x
    x = 7,237,912.35/3,166.50
  6. Step 6: Final answer
    x = 2,285.77

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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.