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Finding the Fourth Proportional to 1,996.90, 2,980.57 and 1,873.78

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Solution

The fourth proportional to 1,996.90, 2,980.57 and 1,873.78 is: 2,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.90 : 2,980.57 = 1,873.78 : x
  2. Step 2: Convert to fraction form
    1,996.90/2,980.57 = 1,873.78/x
  3. Step 3: Cross multiply
    1,996.90x = 2,980.57 × 1,873.78
  4. Step 4: Simplify right side
    1,996.90x = 5,584,923.09
  5. Step 5: Solve for x
    x = 5,584,923.09/1,996.90
  6. Step 6: Final answer
    x = 2,796.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.