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Finding the Fourth Proportional to 2,222.76, 3,329.80 and 1,914.60

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Solution

The fourth proportional to 2,222.76, 3,329.80 and 1,914.60 is: 2,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.76 : 3,329.80 = 1,914.60 : x
  2. Step 2: Convert to fraction form
    2,222.76/3,329.80 = 1,914.60/x
  3. Step 3: Cross multiply
    2,222.76x = 3,329.80 × 1,914.60
  4. Step 4: Simplify right side
    2,222.76x = 6,375,235.08
  5. Step 5: Solve for x
    x = 6,375,235.08/2,222.76
  6. Step 6: Final answer
    x = 2,868.16

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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.