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Finding the Fourth Proportional to 2,493.78, 3,740.70 and 850.20

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Solution

The fourth proportional to 2,493.78, 3,740.70 and 850.20 is: 1,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.78 : 3,740.70 = 850.20 : x
  2. Step 2: Convert to fraction form
    2,493.78/3,740.70 = 850.20/x
  3. Step 3: Cross multiply
    2,493.78x = 3,740.70 × 850.20
  4. Step 4: Simplify right side
    2,493.78x = 3,180,343.14
  5. Step 5: Solve for x
    x = 3,180,343.14/2,493.78
  6. Step 6: Final answer
    x = 1,275.31

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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.