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Finding the Fourth Proportional to 2,045.72, 3,067.20 and 949.48

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Solution

The fourth proportional to 2,045.72, 3,067.20 and 949.48 is: 1,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.72 : 3,067.20 = 949.48 : x
  2. Step 2: Convert to fraction form
    2,045.72/3,067.20 = 949.48/x
  3. Step 3: Cross multiply
    2,045.72x = 3,067.20 × 949.48
  4. Step 4: Simplify right side
    2,045.72x = 2,912,245.06
  5. Step 5: Solve for x
    x = 2,912,245.06/2,045.72
  6. Step 6: Final answer
    x = 1,423.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.