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Finding the Fourth Proportional to 2,859.50, 3,942.07 and 2,151.46

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Solution

The fourth proportional to 2,859.50, 3,942.07 and 2,151.46 is: 2,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.50 : 3,942.07 = 2,151.46 : x
  2. Step 2: Convert to fraction form
    2,859.50/3,942.07 = 2,151.46/x
  3. Step 3: Cross multiply
    2,859.50x = 3,942.07 × 2,151.46
  4. Step 4: Simplify right side
    2,859.50x = 8,481,205.47
  5. Step 5: Solve for x
    x = 8,481,205.47/2,859.50
  6. Step 6: Final answer
    x = 2,965.97

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