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Finding the Fourth Proportional to 2,502.82, 3,453.75 and 1,383.69

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Solution

The fourth proportional to 2,502.82, 3,453.75 and 1,383.69 is: 1,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.82 : 3,453.75 = 1,383.69 : x
  2. Step 2: Convert to fraction form
    2,502.82/3,453.75 = 1,383.69/x
  3. Step 3: Cross multiply
    2,502.82x = 3,453.75 × 1,383.69
  4. Step 4: Simplify right side
    2,502.82x = 4,778,922.58
  5. Step 5: Solve for x
    x = 4,778,922.58/2,502.82
  6. Step 6: Final answer
    x = 1,909.42

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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.