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Finding the Fourth Proportional to 2,571.37, 3,857.06 and 623.57

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Solution

The fourth proportional to 2,571.37, 3,857.06 and 623.57 is: 935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.37 : 3,857.06 = 623.57 : x
  2. Step 2: Convert to fraction form
    2,571.37/3,857.06 = 623.57/x
  3. Step 3: Cross multiply
    2,571.37x = 3,857.06 × 623.57
  4. Step 4: Simplify right side
    2,571.37x = 2,405,148.46
  5. Step 5: Solve for x
    x = 2,405,148.46/2,571.37
  6. Step 6: Final answer
    x = 935.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.