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Finding the Fourth Proportional to 5,185.44, 7,783.56 and 2,998.44

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Solution

The fourth proportional to 5,185.44, 7,783.56 and 2,998.44 is: 4,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.44 : 7,783.56 = 2,998.44 : x
  2. Step 2: Convert to fraction form
    5,185.44/7,783.56 = 2,998.44/x
  3. Step 3: Cross multiply
    5,185.44x = 7,783.56 × 2,998.44
  4. Step 4: Simplify right side
    5,185.44x = 23,338,537.65
  5. Step 5: Solve for x
    x = 23,338,537.65/5,185.44
  6. Step 6: Final answer
    x = 4,500.78

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Half scale
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Double scale
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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.