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Finding the Fourth Proportional to 2,000.30, 2,760 and 1,116.09

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Solution

The fourth proportional to 2,000.30, 2,760 and 1,116.09 is: 1,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.30 : 2,760 = 1,116.09 : x
  2. Step 2: Convert to fraction form
    2,000.30/2,760 = 1,116.09/x
  3. Step 3: Cross multiply
    2,000.30x = 2,760 × 1,116.09
  4. Step 4: Simplify right side
    2,000.30x = 3,080,408.40
  5. Step 5: Solve for x
    x = 3,080,408.40/2,000.30
  6. Step 6: Final answer
    x = 1,539.97

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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.