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Finding the Fourth Proportional to 2,489.08, 3,732.90 and 949.72

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Solution

The fourth proportional to 2,489.08, 3,732.90 and 949.72 is: 1,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.08 : 3,732.90 = 949.72 : x
  2. Step 2: Convert to fraction form
    2,489.08/3,732.90 = 949.72/x
  3. Step 3: Cross multiply
    2,489.08x = 3,732.90 × 949.72
  4. Step 4: Simplify right side
    2,489.08x = 3,545,209.79
  5. Step 5: Solve for x
    x = 3,545,209.79/2,489.08
  6. Step 6: Final answer
    x = 1,424.31

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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.