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Finding the Fourth Proportional to 3,558.70, 5,338.05 and 961.65

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Solution

The fourth proportional to 3,558.70, 5,338.05 and 961.65 is: 1,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.70 : 5,338.05 = 961.65 : x
  2. Step 2: Convert to fraction form
    3,558.70/5,338.05 = 961.65/x
  3. Step 3: Cross multiply
    3,558.70x = 5,338.05 × 961.65
  4. Step 4: Simplify right side
    3,558.70x = 5,133,335.78
  5. Step 5: Solve for x
    x = 5,133,335.78/3,558.70
  6. Step 6: Final answer
    x = 1,442.48

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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.