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Finding the Fourth Proportional to 3,736.68, 5,157.30 and 2,164.84

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Solution

The fourth proportional to 3,736.68, 5,157.30 and 2,164.84 is: 2,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.68 : 5,157.30 = 2,164.84 : x
  2. Step 2: Convert to fraction form
    3,736.68/5,157.30 = 2,164.84/x
  3. Step 3: Cross multiply
    3,736.68x = 5,157.30 × 2,164.84
  4. Step 4: Simplify right side
    3,736.68x = 11,164,729.33
  5. Step 5: Solve for x
    x = 11,164,729.33/3,736.68
  6. Step 6: Final answer
    x = 2,987.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.