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Finding the Fourth Proportional to 7,751.69, 11,629.22 and 2,485.48

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Solution

The fourth proportional to 7,751.69, 11,629.22 and 2,485.48 is: 3,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.69 : 11,629.22 = 2,485.48 : x
  2. Step 2: Convert to fraction form
    7,751.69/11,629.22 = 2,485.48/x
  3. Step 3: Cross multiply
    7,751.69x = 11,629.22 × 2,485.48
  4. Step 4: Simplify right side
    7,751.69x = 28,904,152.23
  5. Step 5: Solve for x
    x = 28,904,152.23/7,751.69
  6. Step 6: Final answer
    x = 3,728.75

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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.