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Finding the Fourth Proportional to 3,167.43, 4,369.98 and 2,049.78

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Solution

The fourth proportional to 3,167.43, 4,369.98 and 2,049.78 is: 2,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.43 : 4,369.98 = 2,049.78 : x
  2. Step 2: Convert to fraction form
    3,167.43/4,369.98 = 2,049.78/x
  3. Step 3: Cross multiply
    3,167.43x = 4,369.98 × 2,049.78
  4. Step 4: Simplify right side
    3,167.43x = 8,957,486.68
  5. Step 5: Solve for x
    x = 8,957,486.68/3,167.43
  6. Step 6: Final answer
    x = 2,828.00

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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.