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Finding the Fourth Proportional to 7,162.59, 9,884.97 and 3,976.09

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Solution

The fourth proportional to 7,162.59, 9,884.97 and 3,976.09 is: 5,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.59 : 9,884.97 = 3,976.09 : x
  2. Step 2: Convert to fraction form
    7,162.59/9,884.97 = 3,976.09/x
  3. Step 3: Cross multiply
    7,162.59x = 9,884.97 × 3,976.09
  4. Step 4: Simplify right side
    7,162.59x = 39,303,505.65
  5. Step 5: Solve for x
    x = 39,303,505.65/7,162.59
  6. Step 6: Final answer
    x = 5,487.33

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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.