Home / 3,743-5,165.40-2,171.60

Finding the Fourth Proportional to 3,743, 5,165.40 and 2,171.60

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Solution

The fourth proportional to 3,743, 5,165.40 and 2,171.60 is: 2,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743 : 5,165.40 = 2,171.60 : x
  2. Step 2: Convert to fraction form
    3,743/5,165.40 = 2,171.60/x
  3. Step 3: Cross multiply
    3,743x = 5,165.40 × 2,171.60
  4. Step 4: Simplify right side
    3,743x = 11,217,182.64
  5. Step 5: Solve for x
    x = 11,217,182.64/3,743
  6. Step 6: Final answer
    x = 2,996.84

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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.