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Finding the Fourth Proportional to 11,173.86, 15,414.03 and 6,984.54

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Solution

The fourth proportional to 11,173.86, 15,414.03 and 6,984.54 is: 9,634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.86 : 15,414.03 = 6,984.54 : x
  2. Step 2: Convert to fraction form
    11,173.86/15,414.03 = 6,984.54/x
  3. Step 3: Cross multiply
    11,173.86x = 15,414.03 × 6,984.54
  4. Step 4: Simplify right side
    11,173.86x = 107,659,909.10
  5. Step 5: Solve for x
    x = 107,659,909.10/11,173.86
  6. Step 6: Final answer
    x = 9,634.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.