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Finding the Fourth Proportional to 2,902.63, 4,354.66 and 850.63

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Solution

The fourth proportional to 2,902.63, 4,354.66 and 850.63 is: 1,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.63 : 4,354.66 = 850.63 : x
  2. Step 2: Convert to fraction form
    2,902.63/4,354.66 = 850.63/x
  3. Step 3: Cross multiply
    2,902.63x = 4,354.66 × 850.63
  4. Step 4: Simplify right side
    2,902.63x = 3,704,204.44
  5. Step 5: Solve for x
    x = 3,704,204.44/2,902.63
  6. Step 6: Final answer
    x = 1,276.15

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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.