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Finding the Fourth Proportional to 2,747.25, 4,121.04 and 898.56

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Solution

The fourth proportional to 2,747.25, 4,121.04 and 898.56 is: 1,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.25 : 4,121.04 = 898.56 : x
  2. Step 2: Convert to fraction form
    2,747.25/4,121.04 = 898.56/x
  3. Step 3: Cross multiply
    2,747.25x = 4,121.04 × 898.56
  4. Step 4: Simplify right side
    2,747.25x = 3,703,001.70
  5. Step 5: Solve for x
    x = 3,703,001.70/2,747.25
  6. Step 6: Final answer
    x = 1,347.89

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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.