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Finding the Fourth Proportional to 11,415.44, 15,751.86 and 6,698

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Solution

The fourth proportional to 11,415.44, 15,751.86 and 6,698 is: 9,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.44 : 15,751.86 = 6,698 : x
  2. Step 2: Convert to fraction form
    11,415.44/15,751.86 = 6,698/x
  3. Step 3: Cross multiply
    11,415.44x = 15,751.86 × 6,698
  4. Step 4: Simplify right side
    11,415.44x = 105,505,958.28
  5. Step 5: Solve for x
    x = 105,505,958.28/11,415.44
  6. Step 6: Final answer
    x = 9,242.39

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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.