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Finding the Fourth Proportional to 1,996.78, 2,990.58 and 1,927.60

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Solution

The fourth proportional to 1,996.78, 2,990.58 and 1,927.60 is: 2,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.78 : 2,990.58 = 1,927.60 : x
  2. Step 2: Convert to fraction form
    1,996.78/2,990.58 = 1,927.60/x
  3. Step 3: Cross multiply
    1,996.78x = 2,990.58 × 1,927.60
  4. Step 4: Simplify right side
    1,996.78x = 5,764,642.01
  5. Step 5: Solve for x
    x = 5,764,642.01/1,996.78
  6. Step 6: Final answer
    x = 2,886.97

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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.