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Finding the Fourth Proportional to 3,100.82, 4,651.49 and 1,456.47

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Solution

The fourth proportional to 3,100.82, 4,651.49 and 1,456.47 is: 2,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.82 : 4,651.49 = 1,456.47 : x
  2. Step 2: Convert to fraction form
    3,100.82/4,651.49 = 1,456.47/x
  3. Step 3: Cross multiply
    3,100.82x = 4,651.49 × 1,456.47
  4. Step 4: Simplify right side
    3,100.82x = 6,774,759.99
  5. Step 5: Solve for x
    x = 6,774,759.99/3,100.82
  6. Step 6: Final answer
    x = 2,184.83

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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.