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Finding the Fourth Proportional to 13,754.88, 20,626.11 and 3,891.81

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Solution

The fourth proportional to 13,754.88, 20,626.11 and 3,891.81 is: 5,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.88 : 20,626.11 = 3,891.81 : x
  2. Step 2: Convert to fraction form
    13,754.88/20,626.11 = 3,891.81/x
  3. Step 3: Cross multiply
    13,754.88x = 20,626.11 × 3,891.81
  4. Step 4: Simplify right side
    13,754.88x = 80,272,901.16
  5. Step 5: Solve for x
    x = 80,272,901.16/13,754.88
  6. Step 6: Final answer
    x = 5,835.96

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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.