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Finding the Fourth Proportional to 3,757.14, 5,185.14 and 2,164.28

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Solution

The fourth proportional to 3,757.14, 5,185.14 and 2,164.28 is: 2,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.14 : 5,185.14 = 2,164.28 : x
  2. Step 2: Convert to fraction form
    3,757.14/5,185.14 = 2,164.28/x
  3. Step 3: Cross multiply
    3,757.14x = 5,185.14 × 2,164.28
  4. Step 4: Simplify right side
    3,757.14x = 11,222,094.80
  5. Step 5: Solve for x
    x = 11,222,094.80/3,757.14
  6. Step 6: Final answer
    x = 2,986.87

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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.