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Finding the Fourth Proportional to 6,735.50, 10,100.49 and 2,351.48

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Solution

The fourth proportional to 6,735.50, 10,100.49 and 2,351.48 is: 3,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.50 : 10,100.49 = 2,351.48 : x
  2. Step 2: Convert to fraction form
    6,735.50/10,100.49 = 2,351.48/x
  3. Step 3: Cross multiply
    6,735.50x = 10,100.49 × 2,351.48
  4. Step 4: Simplify right side
    6,735.50x = 23,751,100.23
  5. Step 5: Solve for x
    x = 23,751,100.23/6,735.50
  6. Step 6: Final answer
    x = 3,526.26

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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.