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Finding the Fourth Proportional to 6,115.81, 9,173.72 and 2,828.29

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Solution

The fourth proportional to 6,115.81, 9,173.72 and 2,828.29 is: 4,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.81 : 9,173.72 = 2,828.29 : x
  2. Step 2: Convert to fraction form
    6,115.81/9,173.72 = 2,828.29/x
  3. Step 3: Cross multiply
    6,115.81x = 9,173.72 × 2,828.29
  4. Step 4: Simplify right side
    6,115.81x = 25,945,940.54
  5. Step 5: Solve for x
    x = 25,945,940.54/6,115.81
  6. Step 6: Final answer
    x = 4,242.44

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Similar ratio
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1.5x scale

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.