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Finding the Fourth Proportional to 3,977.22, 5,965.64 and 1,511.84

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Solution

The fourth proportional to 3,977.22, 5,965.64 and 1,511.84 is: 2,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.22 : 5,965.64 = 1,511.84 : x
  2. Step 2: Convert to fraction form
    3,977.22/5,965.64 = 1,511.84/x
  3. Step 3: Cross multiply
    3,977.22x = 5,965.64 × 1,511.84
  4. Step 4: Simplify right side
    3,977.22x = 9,019,093.18
  5. Step 5: Solve for x
    x = 9,019,093.18/3,977.22
  6. Step 6: Final answer
    x = 2,267.69

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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.