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Finding the Fourth Proportional to 2,716.92, 4,070.90 and 2,489.95

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Solution

The fourth proportional to 2,716.92, 4,070.90 and 2,489.95 is: 3,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.92 : 4,070.90 = 2,489.95 : x
  2. Step 2: Convert to fraction form
    2,716.92/4,070.90 = 2,489.95/x
  3. Step 3: Cross multiply
    2,716.92x = 4,070.90 × 2,489.95
  4. Step 4: Simplify right side
    2,716.92x = 10,136,304.65
  5. Step 5: Solve for x
    x = 10,136,304.65/2,716.92
  6. Step 6: Final answer
    x = 3,730.81

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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.