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Finding the Fourth Proportional to 3,651.84, 5,472 and 2,191.68

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Solution

The fourth proportional to 3,651.84, 5,472 and 2,191.68 is: 3,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.84 : 5,472 = 2,191.68 : x
  2. Step 2: Convert to fraction form
    3,651.84/5,472 = 2,191.68/x
  3. Step 3: Cross multiply
    3,651.84x = 5,472 × 2,191.68
  4. Step 4: Simplify right side
    3,651.84x = 11,992,872.96
  5. Step 5: Solve for x
    x = 11,992,872.96/3,651.84
  6. Step 6: Final answer
    x = 3,284.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.