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Finding the Fourth Proportional to 2,244.46, 3,367.80 and 910.22

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Solution

The fourth proportional to 2,244.46, 3,367.80 and 910.22 is: 1,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.46 : 3,367.80 = 910.22 : x
  2. Step 2: Convert to fraction form
    2,244.46/3,367.80 = 910.22/x
  3. Step 3: Cross multiply
    2,244.46x = 3,367.80 × 910.22
  4. Step 4: Simplify right side
    2,244.46x = 3,065,438.92
  5. Step 5: Solve for x
    x = 3,065,438.92/2,244.46
  6. Step 6: Final answer
    x = 1,365.78

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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.