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Finding the Fourth Proportional to 3,012.58, 4,512 and 2,083.96

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Solution

The fourth proportional to 3,012.58, 4,512 and 2,083.96 is: 3,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.58 : 4,512 = 2,083.96 : x
  2. Step 2: Convert to fraction form
    3,012.58/4,512 = 2,083.96/x
  3. Step 3: Cross multiply
    3,012.58x = 4,512 × 2,083.96
  4. Step 4: Simplify right side
    3,012.58x = 9,402,827.52
  5. Step 5: Solve for x
    x = 9,402,827.52/3,012.58
  6. Step 6: Final answer
    x = 3,121.19

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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.