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Finding the Fourth Proportional to 3,858.52, 5,786.16 and 1,518.16

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Solution

The fourth proportional to 3,858.52, 5,786.16 and 1,518.16 is: 2,276.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.52 : 5,786.16 = 1,518.16 : x
  2. Step 2: Convert to fraction form
    3,858.52/5,786.16 = 1,518.16/x
  3. Step 3: Cross multiply
    3,858.52x = 5,786.16 × 1,518.16
  4. Step 4: Simplify right side
    3,858.52x = 8,784,316.67
  5. Step 5: Solve for x
    x = 8,784,316.67/3,858.52
  6. Step 6: Final answer
    x = 2,276.60

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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.