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Finding the Fourth Proportional to 13,716.56, 20,602.17 and 12,942.87

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Solution

The fourth proportional to 13,716.56, 20,602.17 and 12,942.87 is: 19,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.56 : 20,602.17 = 12,942.87 : x
  2. Step 2: Convert to fraction form
    13,716.56/20,602.17 = 12,942.87/x
  3. Step 3: Cross multiply
    13,716.56x = 20,602.17 × 12,942.87
  4. Step 4: Simplify right side
    13,716.56x = 266,651,208.03
  5. Step 5: Solve for x
    x = 266,651,208.03/13,716.56
  6. Step 6: Final answer
    x = 19,440.10

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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.