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Finding the Fourth Proportional to 2,571.99, 3,857.31 and 928.23

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Solution

The fourth proportional to 2,571.99, 3,857.31 and 928.23 is: 1,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.99 : 3,857.31 = 928.23 : x
  2. Step 2: Convert to fraction form
    2,571.99/3,857.31 = 928.23/x
  3. Step 3: Cross multiply
    2,571.99x = 3,857.31 × 928.23
  4. Step 4: Simplify right side
    2,571.99x = 3,580,470.86
  5. Step 5: Solve for x
    x = 3,580,470.86/2,571.99
  6. Step 6: Final answer
    x = 1,392.10

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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.