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Finding the Fourth Proportional to 11,420.46, 17,119.09 and 7,723.11

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Solution

The fourth proportional to 11,420.46, 17,119.09 and 7,723.11 is: 11,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.46 : 17,119.09 = 7,723.11 : x
  2. Step 2: Convert to fraction form
    11,420.46/17,119.09 = 7,723.11/x
  3. Step 3: Cross multiply
    11,420.46x = 17,119.09 × 7,723.11
  4. Step 4: Simplify right side
    11,420.46x = 132,212,595.86
  5. Step 5: Solve for x
    x = 132,212,595.86/11,420.46
  6. Step 6: Final answer
    x = 11,576.82

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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.