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Finding the Fourth Proportional to 2,222.28, 3,333.42 and 761.85

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Solution

The fourth proportional to 2,222.28, 3,333.42 and 761.85 is: 1,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.28 : 3,333.42 = 761.85 : x
  2. Step 2: Convert to fraction form
    2,222.28/3,333.42 = 761.85/x
  3. Step 3: Cross multiply
    2,222.28x = 3,333.42 × 761.85
  4. Step 4: Simplify right side
    2,222.28x = 2,539,566.03
  5. Step 5: Solve for x
    x = 2,539,566.03/2,222.28
  6. Step 6: Final answer
    x = 1,142.78

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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.