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Finding the Fourth Proportional to 2,842.50, 3,922.68 and 1,600.50

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Solution

The fourth proportional to 2,842.50, 3,922.68 and 1,600.50 is: 2,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.50 : 3,922.68 = 1,600.50 : x
  2. Step 2: Convert to fraction form
    2,842.50/3,922.68 = 1,600.50/x
  3. Step 3: Cross multiply
    2,842.50x = 3,922.68 × 1,600.50
  4. Step 4: Simplify right side
    2,842.50x = 6,278,249.34
  5. Step 5: Solve for x
    x = 6,278,249.34/2,842.50
  6. Step 6: Final answer
    x = 2,208.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.