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Finding the Fourth Proportional to 3,741, 5,162.58 and 2,085

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Solution

The fourth proportional to 3,741, 5,162.58 and 2,085 is: 2,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741 : 5,162.58 = 2,085 : x
  2. Step 2: Convert to fraction form
    3,741/5,162.58 = 2,085/x
  3. Step 3: Cross multiply
    3,741x = 5,162.58 × 2,085
  4. Step 4: Simplify right side
    3,741x = 10,763,979.30
  5. Step 5: Solve for x
    x = 10,763,979.30/3,741
  6. Step 6: Final answer
    x = 2,877.30

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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.