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Finding the Fourth Proportional to 11,176.79, 16,743.31 and 9,205.25

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Solution

The fourth proportional to 11,176.79, 16,743.31 and 9,205.25 is: 13,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.79 : 16,743.31 = 9,205.25 : x
  2. Step 2: Convert to fraction form
    11,176.79/16,743.31 = 9,205.25/x
  3. Step 3: Cross multiply
    11,176.79x = 16,743.31 × 9,205.25
  4. Step 4: Simplify right side
    11,176.79x = 154,126,247.65
  5. Step 5: Solve for x
    x = 154,126,247.65/11,176.79
  6. Step 6: Final answer
    x = 13,789.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.