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Finding the Fourth Proportional to 2,218, 3,326.98 and 919.48

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Solution

The fourth proportional to 2,218, 3,326.98 and 919.48 is: 1,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218 : 3,326.98 = 919.48 : x
  2. Step 2: Convert to fraction form
    2,218/3,326.98 = 919.48/x
  3. Step 3: Cross multiply
    2,218x = 3,326.98 × 919.48
  4. Step 4: Simplify right side
    2,218x = 3,059,091.57
  5. Step 5: Solve for x
    x = 3,059,091.57/2,218
  6. Step 6: Final answer
    x = 1,379.21

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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.