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Finding the Fourth Proportional to 2,126.76, 3,168.17 and 1,992.20

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Solution

The fourth proportional to 2,126.76, 3,168.17 and 1,992.20 is: 2,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.76 : 3,168.17 = 1,992.20 : x
  2. Step 2: Convert to fraction form
    2,126.76/3,168.17 = 1,992.20/x
  3. Step 3: Cross multiply
    2,126.76x = 3,168.17 × 1,992.20
  4. Step 4: Simplify right side
    2,126.76x = 6,311,628.27
  5. Step 5: Solve for x
    x = 6,311,628.27/2,126.76
  6. Step 6: Final answer
    x = 2,967.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.