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Finding the Fourth Proportional to 2,571.42, 3,857.14 and 623.62

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Solution

The fourth proportional to 2,571.42, 3,857.14 and 623.62 is: 935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.42 : 3,857.14 = 623.62 : x
  2. Step 2: Convert to fraction form
    2,571.42/3,857.14 = 623.62/x
  3. Step 3: Cross multiply
    2,571.42x = 3,857.14 × 623.62
  4. Step 4: Simplify right side
    2,571.42x = 2,405,389.65
  5. Step 5: Solve for x
    x = 2,405,389.65/2,571.42
  6. Step 6: Final answer
    x = 935.43

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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.