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Finding the Fourth Proportional to 11,455.97, 15,809.81 and 6,978.96

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Solution

The fourth proportional to 11,455.97, 15,809.81 and 6,978.96 is: 9,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.97 : 15,809.81 = 6,978.96 : x
  2. Step 2: Convert to fraction form
    11,455.97/15,809.81 = 6,978.96/x
  3. Step 3: Cross multiply
    11,455.97x = 15,809.81 × 6,978.96
  4. Step 4: Simplify right side
    11,455.97x = 110,335,996.70
  5. Step 5: Solve for x
    x = 110,335,996.70/11,455.97
  6. Step 6: Final answer
    x = 9,631.31

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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.