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Finding the Fourth Proportional to 5,992.10, 8,992.15 and 2,096.50

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Solution

The fourth proportional to 5,992.10, 8,992.15 and 2,096.50 is: 3,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.10 : 8,992.15 = 2,096.50 : x
  2. Step 2: Convert to fraction form
    5,992.10/8,992.15 = 2,096.50/x
  3. Step 3: Cross multiply
    5,992.10x = 8,992.15 × 2,096.50
  4. Step 4: Simplify right side
    5,992.10x = 18,852,042.48
  5. Step 5: Solve for x
    x = 18,852,042.48/5,992.10
  6. Step 6: Final answer
    x = 3,146.15

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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.