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Finding the Fourth Proportional to 2,579.78, 3,860.41 and 2,234.29

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Solution

The fourth proportional to 2,579.78, 3,860.41 and 2,234.29 is: 3,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.78 : 3,860.41 = 2,234.29 : x
  2. Step 2: Convert to fraction form
    2,579.78/3,860.41 = 2,234.29/x
  3. Step 3: Cross multiply
    2,579.78x = 3,860.41 × 2,234.29
  4. Step 4: Simplify right side
    2,579.78x = 8,625,275.46
  5. Step 5: Solve for x
    x = 8,625,275.46/2,579.78
  6. Step 6: Final answer
    x = 3,343.42

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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.