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Finding the Fourth Proportional to 4,640.50, 6,404.12 and 2,751.67

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Solution

The fourth proportional to 4,640.50, 6,404.12 and 2,751.67 is: 3,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.50 : 6,404.12 = 2,751.67 : x
  2. Step 2: Convert to fraction form
    4,640.50/6,404.12 = 2,751.67/x
  3. Step 3: Cross multiply
    4,640.50x = 6,404.12 × 2,751.67
  4. Step 4: Simplify right side
    4,640.50x = 17,622,024.88
  5. Step 5: Solve for x
    x = 17,622,024.88/4,640.50
  6. Step 6: Final answer
    x = 3,797.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.