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Finding the Fourth Proportional to 3,960, 5,464.80 and 2,191.87

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Solution

The fourth proportional to 3,960, 5,464.80 and 2,191.87 is: 3,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960 : 5,464.80 = 2,191.87 : x
  2. Step 2: Convert to fraction form
    3,960/5,464.80 = 2,191.87/x
  3. Step 3: Cross multiply
    3,960x = 5,464.80 × 2,191.87
  4. Step 4: Simplify right side
    3,960x = 11,978,138.01
  5. Step 5: Solve for x
    x = 11,978,138.01/3,960
  6. Step 6: Final answer
    x = 3,024.78

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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.