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Finding the Fourth Proportional to 2,054.51, 3,081.75 and 1,394.75

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Solution

The fourth proportional to 2,054.51, 3,081.75 and 1,394.75 is: 2,092.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.51 : 3,081.75 = 1,394.75 : x
  2. Step 2: Convert to fraction form
    2,054.51/3,081.75 = 1,394.75/x
  3. Step 3: Cross multiply
    2,054.51x = 3,081.75 × 1,394.75
  4. Step 4: Simplify right side
    2,054.51x = 4,298,270.81
  5. Step 5: Solve for x
    x = 4,298,270.81/2,054.51
  6. Step 6: Final answer
    x = 2,092.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.