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Finding the Fourth Proportional to 2,592.58, 3,889.20 and 949.90

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Solution

The fourth proportional to 2,592.58, 3,889.20 and 949.90 is: 1,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.58 : 3,889.20 = 949.90 : x
  2. Step 2: Convert to fraction form
    2,592.58/3,889.20 = 949.90/x
  3. Step 3: Cross multiply
    2,592.58x = 3,889.20 × 949.90
  4. Step 4: Simplify right side
    2,592.58x = 3,694,351.08
  5. Step 5: Solve for x
    x = 3,694,351.08/2,592.58
  6. Step 6: Final answer
    x = 1,424.97

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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.