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Finding the Fourth Proportional to 2,571.79, 3,857.20 and 1,254.22

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Solution

The fourth proportional to 2,571.79, 3,857.20 and 1,254.22 is: 1,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.79 : 3,857.20 = 1,254.22 : x
  2. Step 2: Convert to fraction form
    2,571.79/3,857.20 = 1,254.22/x
  3. Step 3: Cross multiply
    2,571.79x = 3,857.20 × 1,254.22
  4. Step 4: Simplify right side
    2,571.79x = 4,837,777.38
  5. Step 5: Solve for x
    x = 4,837,777.38/2,571.79
  6. Step 6: Final answer
    x = 1,881.09

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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.