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Finding the Fourth Proportional to 7,751.25, 10,724.90 and 6,758.60

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Solution

The fourth proportional to 7,751.25, 10,724.90 and 6,758.60 is: 9,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.25 : 10,724.90 = 6,758.60 : x
  2. Step 2: Convert to fraction form
    7,751.25/10,724.90 = 6,758.60/x
  3. Step 3: Cross multiply
    7,751.25x = 10,724.90 × 6,758.60
  4. Step 4: Simplify right side
    7,751.25x = 72,485,221.72
  5. Step 5: Solve for x
    x = 72,485,221.72/7,751.25
  6. Step 6: Final answer
    x = 9,351.42

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1.5x scale

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.