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Finding the Fourth Proportional to 8,179.49, 12,262.74 and 3,559.25

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Solution

The fourth proportional to 8,179.49, 12,262.74 and 3,559.25 is: 5,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.49 : 12,262.74 = 3,559.25 : x
  2. Step 2: Convert to fraction form
    8,179.49/12,262.74 = 3,559.25/x
  3. Step 3: Cross multiply
    8,179.49x = 12,262.74 × 3,559.25
  4. Step 4: Simplify right side
    8,179.49x = 43,646,139.55
  5. Step 5: Solve for x
    x = 43,646,139.55/8,179.49
  6. Step 6: Final answer
    x = 5,336.05

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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.