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Finding the Fourth Proportional to 2,854.57, 4,284.01 and 1,212.27

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Solution

The fourth proportional to 2,854.57, 4,284.01 and 1,212.27 is: 1,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.57 : 4,284.01 = 1,212.27 : x
  2. Step 2: Convert to fraction form
    2,854.57/4,284.01 = 1,212.27/x
  3. Step 3: Cross multiply
    2,854.57x = 4,284.01 × 1,212.27
  4. Step 4: Simplify right side
    2,854.57x = 5,193,365.66
  5. Step 5: Solve for x
    x = 5,193,365.66/2,854.57
  6. Step 6: Final answer
    x = 1,819.32

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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.