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Finding the Fourth Proportional to 2,049.59, 2,828.39 and 1,118.09

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Solution

The fourth proportional to 2,049.59, 2,828.39 and 1,118.09 is: 1,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.59 : 2,828.39 = 1,118.09 : x
  2. Step 2: Convert to fraction form
    2,049.59/2,828.39 = 1,118.09/x
  3. Step 3: Cross multiply
    2,049.59x = 2,828.39 × 1,118.09
  4. Step 4: Simplify right side
    2,049.59x = 3,162,374.84
  5. Step 5: Solve for x
    x = 3,162,374.84/2,049.59
  6. Step 6: Final answer
    x = 1,542.93

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