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Finding the Fourth Proportional to 2,571.39, 3,857.10 and 623.61

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Solution

The fourth proportional to 2,571.39, 3,857.10 and 623.61 is: 935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.39 : 3,857.10 = 623.61 : x
  2. Step 2: Convert to fraction form
    2,571.39/3,857.10 = 623.61/x
  3. Step 3: Cross multiply
    2,571.39x = 3,857.10 × 623.61
  4. Step 4: Simplify right side
    2,571.39x = 2,405,326.13
  5. Step 5: Solve for x
    x = 2,405,326.13/2,571.39
  6. Step 6: Final answer
    x = 935.42

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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.