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Finding the Fourth Proportional to 3,744.76, 5,168.01 and 2,151.92

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Solution

The fourth proportional to 3,744.76, 5,168.01 and 2,151.92 is: 2,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.76 : 5,168.01 = 2,151.92 : x
  2. Step 2: Convert to fraction form
    3,744.76/5,168.01 = 2,151.92/x
  3. Step 3: Cross multiply
    3,744.76x = 5,168.01 × 2,151.92
  4. Step 4: Simplify right side
    3,744.76x = 11,121,144.08
  5. Step 5: Solve for x
    x = 11,121,144.08/3,744.76
  6. Step 6: Final answer
    x = 2,969.79

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1.5x scale

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.