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Finding the Fourth Proportional to 1,992.78, 2,989.92 and 896.34

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Solution

The fourth proportional to 1,992.78, 2,989.92 and 896.34 is: 1,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.78 : 2,989.92 = 896.34 : x
  2. Step 2: Convert to fraction form
    1,992.78/2,989.92 = 896.34/x
  3. Step 3: Cross multiply
    1,992.78x = 2,989.92 × 896.34
  4. Step 4: Simplify right side
    1,992.78x = 2,679,984.89
  5. Step 5: Solve for x
    x = 2,679,984.89/1,992.78
  6. Step 6: Final answer
    x = 1,344.85

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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.