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Finding the Fourth Proportional to 3,808.58, 5,713.67 and 1,618.34

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Solution

The fourth proportional to 3,808.58, 5,713.67 and 1,618.34 is: 2,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.58 : 5,713.67 = 1,618.34 : x
  2. Step 2: Convert to fraction form
    3,808.58/5,713.67 = 1,618.34/x
  3. Step 3: Cross multiply
    3,808.58x = 5,713.67 × 1,618.34
  4. Step 4: Simplify right side
    3,808.58x = 9,246,636.19
  5. Step 5: Solve for x
    x = 9,246,636.19/3,808.58
  6. Step 6: Final answer
    x = 2,427.85

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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.