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Finding the Fourth Proportional to 13,685.76, 20,431.44 and 13,199.76

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Solution

The fourth proportional to 13,685.76, 20,431.44 and 13,199.76 is: 19,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.76 : 20,431.44 = 13,199.76 : x
  2. Step 2: Convert to fraction form
    13,685.76/20,431.44 = 13,199.76/x
  3. Step 3: Cross multiply
    13,685.76x = 20,431.44 × 13,199.76
  4. Step 4: Simplify right side
    13,685.76x = 269,690,104.45
  5. Step 5: Solve for x
    x = 269,690,104.45/13,685.76
  6. Step 6: Final answer
    x = 19,705.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.