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Finding the Fourth Proportional to 2,571.72, 3,549.18 and 1,509.22

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Solution

The fourth proportional to 2,571.72, 3,549.18 and 1,509.22 is: 2,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.72 : 3,549.18 = 1,509.22 : x
  2. Step 2: Convert to fraction form
    2,571.72/3,549.18 = 1,509.22/x
  3. Step 3: Cross multiply
    2,571.72x = 3,549.18 × 1,509.22
  4. Step 4: Simplify right side
    2,571.72x = 5,356,493.44
  5. Step 5: Solve for x
    x = 5,356,493.44/2,571.72
  6. Step 6: Final answer
    x = 2,082.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.