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Finding the Fourth Proportional to 11,978.52, 16,530.31 and 6,945.65

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Solution

The fourth proportional to 11,978.52, 16,530.31 and 6,945.65 is: 9,584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.52 : 16,530.31 = 6,945.65 : x
  2. Step 2: Convert to fraction form
    11,978.52/16,530.31 = 6,945.65/x
  3. Step 3: Cross multiply
    11,978.52x = 16,530.31 × 6,945.65
  4. Step 4: Simplify right side
    11,978.52x = 114,813,747.65
  5. Step 5: Solve for x
    x = 114,813,747.65/11,978.52
  6. Step 6: Final answer
    x = 9,584.97

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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.