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Finding the Fourth Proportional to 3,748.92, 5,175.72 and 2,571.72

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Solution

The fourth proportional to 3,748.92, 5,175.72 and 2,571.72 is: 3,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.92 : 5,175.72 = 2,571.72 : x
  2. Step 2: Convert to fraction form
    3,748.92/5,175.72 = 2,571.72/x
  3. Step 3: Cross multiply
    3,748.92x = 5,175.72 × 2,571.72
  4. Step 4: Simplify right side
    3,748.92x = 13,310,502.64
  5. Step 5: Solve for x
    x = 13,310,502.64/3,748.92
  6. Step 6: Final answer
    x = 3,550.49

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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.