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Finding the Fourth Proportional to 7,751.68, 11,623.74 and 3,858.28

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Solution

The fourth proportional to 7,751.68, 11,623.74 and 3,858.28 is: 5,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.68 : 11,623.74 = 3,858.28 : x
  2. Step 2: Convert to fraction form
    7,751.68/11,623.74 = 3,858.28/x
  3. Step 3: Cross multiply
    7,751.68x = 11,623.74 × 3,858.28
  4. Step 4: Simplify right side
    7,751.68x = 44,847,643.57
  5. Step 5: Solve for x
    x = 44,847,643.57/7,751.68
  6. Step 6: Final answer
    x = 5,785.54

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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.