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Finding the Fourth Proportional to 10,769.72, 14,843.94 and 8,216.60

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Solution

The fourth proportional to 10,769.72, 14,843.94 and 8,216.60 is: 11,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.72 : 14,843.94 = 8,216.60 : x
  2. Step 2: Convert to fraction form
    10,769.72/14,843.94 = 8,216.60/x
  3. Step 3: Cross multiply
    10,769.72x = 14,843.94 × 8,216.60
  4. Step 4: Simplify right side
    10,769.72x = 121,966,717.40
  5. Step 5: Solve for x
    x = 121,966,717.40/10,769.72
  6. Step 6: Final answer
    x = 11,324.97

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1.5x scale

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.