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Finding the Fourth Proportional to 10,191.96, 15,274.04 and 5,251.14

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Solution

The fourth proportional to 10,191.96, 15,274.04 and 5,251.14 is: 7,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.96 : 15,274.04 = 5,251.14 : x
  2. Step 2: Convert to fraction form
    10,191.96/15,274.04 = 5,251.14/x
  3. Step 3: Cross multiply
    10,191.96x = 15,274.04 × 5,251.14
  4. Step 4: Simplify right side
    10,191.96x = 80,206,096.15
  5. Step 5: Solve for x
    x = 80,206,096.15/10,191.96
  6. Step 6: Final answer
    x = 7,869.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.