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Finding the Fourth Proportional to 11,974.58, 17,955.86 and 6,978.56

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Solution

The fourth proportional to 11,974.58, 17,955.86 and 6,978.56 is: 10,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.58 : 17,955.86 = 6,978.56 : x
  2. Step 2: Convert to fraction form
    11,974.58/17,955.86 = 6,978.56/x
  3. Step 3: Cross multiply
    11,974.58x = 17,955.86 × 6,978.56
  4. Step 4: Simplify right side
    11,974.58x = 125,306,056.36
  5. Step 5: Solve for x
    x = 125,306,056.36/11,974.58
  6. Step 6: Final answer
    x = 10,464.34

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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.