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Finding the Fourth Proportional to 2,090.70, 3,131.87 and 991.80

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Solution

The fourth proportional to 2,090.70, 3,131.87 and 991.80 is: 1,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.70 : 3,131.87 = 991.80 : x
  2. Step 2: Convert to fraction form
    2,090.70/3,131.87 = 991.80/x
  3. Step 3: Cross multiply
    2,090.70x = 3,131.87 × 991.80
  4. Step 4: Simplify right side
    2,090.70x = 3,106,183.71
  5. Step 5: Solve for x
    x = 3,106,183.71/2,090.70
  6. Step 6: Final answer
    x = 1,485.71

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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.