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Finding the Fourth Proportional to 2,219.24, 3,327.24 and 920

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Solution

The fourth proportional to 2,219.24, 3,327.24 and 920 is: 1,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.24 : 3,327.24 = 920 : x
  2. Step 2: Convert to fraction form
    2,219.24/3,327.24 = 920/x
  3. Step 3: Cross multiply
    2,219.24x = 3,327.24 × 920
  4. Step 4: Simplify right side
    2,219.24x = 3,061,060.80
  5. Step 5: Solve for x
    x = 3,061,060.80/2,219.24
  6. Step 6: Final answer
    x = 1,379.33

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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.