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Finding the Fourth Proportional to 2,049.57, 2,828.40 and 1,118.07

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Solution

The fourth proportional to 2,049.57, 2,828.40 and 1,118.07 is: 1,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.57 : 2,828.40 = 1,118.07 : x
  2. Step 2: Convert to fraction form
    2,049.57/2,828.40 = 1,118.07/x
  3. Step 3: Cross multiply
    2,049.57x = 2,828.40 × 1,118.07
  4. Step 4: Simplify right side
    2,049.57x = 3,162,349.19
  5. Step 5: Solve for x
    x = 3,162,349.19/2,049.57
  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.