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Finding the Fourth Proportional to 2,270.85, 3,404.85 and 1,489.89

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Solution

The fourth proportional to 2,270.85, 3,404.85 and 1,489.89 is: 2,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.85 : 3,404.85 = 1,489.89 : x
  2. Step 2: Convert to fraction form
    2,270.85/3,404.85 = 1,489.89/x
  3. Step 3: Cross multiply
    2,270.85x = 3,404.85 × 1,489.89
  4. Step 4: Simplify right side
    2,270.85x = 5,072,851.97
  5. Step 5: Solve for x
    x = 5,072,851.97/2,270.85
  6. Step 6: Final answer
    x = 2,233.90

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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.