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Finding the Fourth Proportional to 2,083.74, 2,874.48 and 1,585.56

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Solution

The fourth proportional to 2,083.74, 2,874.48 and 1,585.56 is: 2,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.74 : 2,874.48 = 1,585.56 : x
  2. Step 2: Convert to fraction form
    2,083.74/2,874.48 = 1,585.56/x
  3. Step 3: Cross multiply
    2,083.74x = 2,874.48 × 1,585.56
  4. Step 4: Simplify right side
    2,083.74x = 4,557,660.51
  5. Step 5: Solve for x
    x = 4,557,660.51/2,083.74
  6. Step 6: Final answer
    x = 2,187.25

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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.