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Finding the Fourth Proportional to 3,738, 5,158.80 and 2,082

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Solution

The fourth proportional to 3,738, 5,158.80 and 2,082 is: 2,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738 : 5,158.80 = 2,082 : x
  2. Step 2: Convert to fraction form
    3,738/5,158.80 = 2,082/x
  3. Step 3: Cross multiply
    3,738x = 5,158.80 × 2,082
  4. Step 4: Simplify right side
    3,738x = 10,740,621.60
  5. Step 5: Solve for x
    x = 10,740,621.60/3,738
  6. Step 6: Final answer
    x = 2,873.36

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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.