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Finding the Fourth Proportional to 10,667.65, 16,003.10 and 5,119.96

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Solution

The fourth proportional to 10,667.65, 16,003.10 and 5,119.96 is: 7,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.65 : 16,003.10 = 5,119.96 : x
  2. Step 2: Convert to fraction form
    10,667.65/16,003.10 = 5,119.96/x
  3. Step 3: Cross multiply
    10,667.65x = 16,003.10 × 5,119.96
  4. Step 4: Simplify right side
    10,667.65x = 81,935,231.88
  5. Step 5: Solve for x
    x = 81,935,231.88/10,667.65
  6. Step 6: Final answer
    x = 7,680.72

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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.