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Finding the Fourth Proportional to 1,999.91, 2,760.09 and 1,116.02

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Solution

The fourth proportional to 1,999.91, 2,760.09 and 1,116.02 is: 1,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.91 : 2,760.09 = 1,116.02 : x
  2. Step 2: Convert to fraction form
    1,999.91/2,760.09 = 1,116.02/x
  3. Step 3: Cross multiply
    1,999.91x = 2,760.09 × 1,116.02
  4. Step 4: Simplify right side
    1,999.91x = 3,080,315.64
  5. Step 5: Solve for x
    x = 3,080,315.64/1,999.91
  6. Step 6: Final answer
    x = 1,540.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.