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Finding the Fourth Proportional to 13,841.84, 20,729.28 and 9,686

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Solution

The fourth proportional to 13,841.84, 20,729.28 and 9,686 is: 14,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.84 : 20,729.28 = 9,686 : x
  2. Step 2: Convert to fraction form
    13,841.84/20,729.28 = 9,686/x
  3. Step 3: Cross multiply
    13,841.84x = 20,729.28 × 9,686
  4. Step 4: Simplify right side
    13,841.84x = 200,783,806.08
  5. Step 5: Solve for x
    x = 200,783,806.08/13,841.84
  6. Step 6: Final answer
    x = 14,505.57

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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.