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Finding the Fourth Proportional to 2,774.79, 3,828.21 and 1,780.62

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Solution

The fourth proportional to 2,774.79, 3,828.21 and 1,780.62 is: 2,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.79 : 3,828.21 = 1,780.62 : x
  2. Step 2: Convert to fraction form
    2,774.79/3,828.21 = 1,780.62/x
  3. Step 3: Cross multiply
    2,774.79x = 3,828.21 × 1,780.62
  4. Step 4: Simplify right side
    2,774.79x = 6,816,576.27
  5. Step 5: Solve for x
    x = 6,816,576.27/2,774.79
  6. Step 6: Final answer
    x = 2,456.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.