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Finding the Fourth Proportional to 3,149.12, 4,345.44 and 2,216

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Solution

The fourth proportional to 3,149.12, 4,345.44 and 2,216 is: 3,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.12 : 4,345.44 = 2,216 : x
  2. Step 2: Convert to fraction form
    3,149.12/4,345.44 = 2,216/x
  3. Step 3: Cross multiply
    3,149.12x = 4,345.44 × 2,216
  4. Step 4: Simplify right side
    3,149.12x = 9,629,495.04
  5. Step 5: Solve for x
    x = 9,629,495.04/3,149.12
  6. Step 6: Final answer
    x = 3,057.84

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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.