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Finding the Fourth Proportional to 1,624.85, 2,242 and 961.73

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Solution

The fourth proportional to 1,624.85, 2,242 and 961.73 is: 1,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.85 : 2,242 = 961.73 : x
  2. Step 2: Convert to fraction form
    1,624.85/2,242 = 961.73/x
  3. Step 3: Cross multiply
    1,624.85x = 2,242 × 961.73
  4. Step 4: Simplify right side
    1,624.85x = 2,156,198.66
  5. Step 5: Solve for x
    x = 2,156,198.66/1,624.85
  6. Step 6: Final answer
    x = 1,327.01

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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.