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Finding the Fourth Proportional to 2,492.70, 3,739.86 and 850.29

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Solution

The fourth proportional to 2,492.70, 3,739.86 and 850.29 is: 1,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.70 : 3,739.86 = 850.29 : x
  2. Step 2: Convert to fraction form
    2,492.70/3,739.86 = 850.29/x
  3. Step 3: Cross multiply
    2,492.70x = 3,739.86 × 850.29
  4. Step 4: Simplify right side
    2,492.70x = 3,179,965.56
  5. Step 5: Solve for x
    x = 3,179,965.56/2,492.70
  6. Step 6: Final answer
    x = 1,275.71

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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.