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Finding the Fourth Proportional to 2,550.87, 3,822.20 and 1,574.91

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Solution

The fourth proportional to 2,550.87, 3,822.20 and 1,574.91 is: 2,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.87 : 3,822.20 = 1,574.91 : x
  2. Step 2: Convert to fraction form
    2,550.87/3,822.20 = 1,574.91/x
  3. Step 3: Cross multiply
    2,550.87x = 3,822.20 × 1,574.91
  4. Step 4: Simplify right side
    2,550.87x = 6,019,613.13
  5. Step 5: Solve for x
    x = 6,019,613.13/2,550.87
  6. Step 6: Final answer
    x = 2,359.83

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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.