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Finding the Fourth Proportional to 2,593.80, 3,889.35 and 949.86

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Solution

The fourth proportional to 2,593.80, 3,889.35 and 949.86 is: 1,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.80 : 3,889.35 = 949.86 : x
  2. Step 2: Convert to fraction form
    2,593.80/3,889.35 = 949.86/x
  3. Step 3: Cross multiply
    2,593.80x = 3,889.35 × 949.86
  4. Step 4: Simplify right side
    2,593.80x = 3,694,337.99
  5. Step 5: Solve for x
    x = 3,694,337.99/2,593.80
  6. Step 6: Final answer
    x = 1,424.30

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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.