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Finding the Fourth Proportional to 3,738.62, 5,159.07 and 2,082.62

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Solution

The fourth proportional to 3,738.62, 5,159.07 and 2,082.62 is: 2,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.62 : 5,159.07 = 2,082.62 : x
  2. Step 2: Convert to fraction form
    3,738.62/5,159.07 = 2,082.62/x
  3. Step 3: Cross multiply
    3,738.62x = 5,159.07 × 2,082.62
  4. Step 4: Simplify right side
    3,738.62x = 10,744,382.36
  5. Step 5: Solve for x
    x = 10,744,382.36/3,738.62
  6. Step 6: Final answer
    x = 2,873.89

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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.