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Finding the Fourth Proportional to 5,940.78, 8,912.26 and 1,991.64

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Solution

The fourth proportional to 5,940.78, 8,912.26 and 1,991.64 is: 2,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.78 : 8,912.26 = 1,991.64 : x
  2. Step 2: Convert to fraction form
    5,940.78/8,912.26 = 1,991.64/x
  3. Step 3: Cross multiply
    5,940.78x = 8,912.26 × 1,991.64
  4. Step 4: Simplify right side
    5,940.78x = 17,750,013.51
  5. Step 5: Solve for x
    x = 17,750,013.51/5,940.78
  6. Step 6: Final answer
    x = 2,987.83

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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.