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Finding the Fourth Proportional to 2,218.50, 3,327.75 and 920.00

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Solution

The fourth proportional to 2,218.50, 3,327.75 and 920.00 is: 1,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.50 : 3,327.75 = 920.00 : x
  2. Step 2: Convert to fraction form
    2,218.50/3,327.75 = 920.00/x
  3. Step 3: Cross multiply
    2,218.50x = 3,327.75 × 920.00
  4. Step 4: Simplify right side
    2,218.50x = 3,061,538.32
  5. Step 5: Solve for x
    x = 3,061,538.32/2,218.50
  6. Step 6: Final answer
    x = 1,380.00

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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.