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Finding the Fourth Proportional to 7,638.80, 11,457.81 and 2,092.05

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Solution

The fourth proportional to 7,638.80, 11,457.81 and 2,092.05 is: 3,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.80 : 11,457.81 = 2,092.05 : x
  2. Step 2: Convert to fraction form
    7,638.80/11,457.81 = 2,092.05/x
  3. Step 3: Cross multiply
    7,638.80x = 11,457.81 × 2,092.05
  4. Step 4: Simplify right side
    7,638.80x = 23,970,311.41
  5. Step 5: Solve for x
    x = 23,970,311.41/7,638.80
  6. Step 6: Final answer
    x = 3,137.97

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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.