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Finding the Fourth Proportional to 13,755.81, 20,633.72 and 3,895.17

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Solution

The fourth proportional to 13,755.81, 20,633.72 and 3,895.17 is: 5,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.81 : 20,633.72 = 3,895.17 : x
  2. Step 2: Convert to fraction form
    13,755.81/20,633.72 = 3,895.17/x
  3. Step 3: Cross multiply
    13,755.81x = 20,633.72 × 3,895.17
  4. Step 4: Simplify right side
    13,755.81x = 80,371,847.13
  5. Step 5: Solve for x
    x = 80,371,847.13/13,755.81
  6. Step 6: Final answer
    x = 5,842.76

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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.