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Finding the Fourth Proportional to 5,455.14, 8,182.71 and 1,351.14

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Solution

The fourth proportional to 5,455.14, 8,182.71 and 1,351.14 is: 2,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.14 : 8,182.71 = 1,351.14 : x
  2. Step 2: Convert to fraction form
    5,455.14/8,182.71 = 1,351.14/x
  3. Step 3: Cross multiply
    5,455.14x = 8,182.71 × 1,351.14
  4. Step 4: Simplify right side
    5,455.14x = 11,055,986.79
  5. Step 5: Solve for x
    x = 11,055,986.79/5,455.14
  6. Step 6: Final answer
    x = 2,026.71

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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.