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Finding the Fourth Proportional to 3,817, 5,268.42 and 2,161.96

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Solution

The fourth proportional to 3,817, 5,268.42 and 2,161.96 is: 2,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817 : 5,268.42 = 2,161.96 : x
  2. Step 2: Convert to fraction form
    3,817/5,268.42 = 2,161.96/x
  3. Step 3: Cross multiply
    3,817x = 5,268.42 × 2,161.96
  4. Step 4: Simplify right side
    3,817x = 11,390,113.30
  5. Step 5: Solve for x
    x = 11,390,113.30/3,817
  6. Step 6: Final answer
    x = 2,984.05

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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.