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Finding the Fourth Proportional to 2,592.89, 3,889.34 and 949.43

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Solution

The fourth proportional to 2,592.89, 3,889.34 and 949.43 is: 1,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.89 : 3,889.34 = 949.43 : x
  2. Step 2: Convert to fraction form
    2,592.89/3,889.34 = 949.43/x
  3. Step 3: Cross multiply
    2,592.89x = 3,889.34 × 949.43
  4. Step 4: Simplify right side
    2,592.89x = 3,692,631.88
  5. Step 5: Solve for x
    x = 3,692,631.88/2,592.89
  6. Step 6: Final answer
    x = 1,424.14

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Similar ratio
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1.5x scale

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.