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Finding the Fourth Proportional to 3,558.94, 5,338.71 and 961.88

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Solution

The fourth proportional to 3,558.94, 5,338.71 and 961.88 is: 1,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.94 : 5,338.71 = 961.88 : x
  2. Step 2: Convert to fraction form
    3,558.94/5,338.71 = 961.88/x
  3. Step 3: Cross multiply
    3,558.94x = 5,338.71 × 961.88
  4. Step 4: Simplify right side
    3,558.94x = 5,135,171.68
  5. Step 5: Solve for x
    x = 5,135,171.68/3,558.94
  6. Step 6: Final answer
    x = 1,442.89

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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.