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Finding the Fourth Proportional to 2,676, 3,688.83 and 2,300.97

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Solution

The fourth proportional to 2,676, 3,688.83 and 2,300.97 is: 3,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676 : 3,688.83 = 2,300.97 : x
  2. Step 2: Convert to fraction form
    2,676/3,688.83 = 2,300.97/x
  3. Step 3: Cross multiply
    2,676x = 3,688.83 × 2,300.97
  4. Step 4: Simplify right side
    2,676x = 8,487,887.17
  5. Step 5: Solve for x
    x = 8,487,887.17/2,676
  6. Step 6: Final answer
    x = 3,171.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.