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Finding the Fourth Proportional to 1,992.94, 2,989.39 and 896.53

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Solution

The fourth proportional to 1,992.94, 2,989.39 and 896.53 is: 1,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.94 : 2,989.39 = 896.53 : x
  2. Step 2: Convert to fraction form
    1,992.94/2,989.39 = 896.53/x
  3. Step 3: Cross multiply
    1,992.94x = 2,989.39 × 896.53
  4. Step 4: Simplify right side
    1,992.94x = 2,680,073.33
  5. Step 5: Solve for x
    x = 2,680,073.33/1,992.94
  6. Step 6: Final answer
    x = 1,344.78

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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.