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Finding the Fourth Proportional to 2,572.82, 3,550.80 and 1,453.80

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Solution

The fourth proportional to 2,572.82, 3,550.80 and 1,453.80 is: 2,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.82 : 3,550.80 = 1,453.80 : x
  2. Step 2: Convert to fraction form
    2,572.82/3,550.80 = 1,453.80/x
  3. Step 3: Cross multiply
    2,572.82x = 3,550.80 × 1,453.80
  4. Step 4: Simplify right side
    2,572.82x = 5,162,153.04
  5. Step 5: Solve for x
    x = 5,162,153.04/2,572.82
  6. Step 6: Final answer
    x = 2,006.42

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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.