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Finding the Fourth Proportional to 5,213.97, 7,821 and 1,751.22

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Solution

The fourth proportional to 5,213.97, 7,821 and 1,751.22 is: 2,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.97 : 7,821 = 1,751.22 : x
  2. Step 2: Convert to fraction form
    5,213.97/7,821 = 1,751.22/x
  3. Step 3: Cross multiply
    5,213.97x = 7,821 × 1,751.22
  4. Step 4: Simplify right side
    5,213.97x = 13,696,291.62
  5. Step 5: Solve for x
    x = 13,696,291.62/5,213.97
  6. Step 6: Final answer
    x = 2,626.85

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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.