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Finding the Fourth Proportional to 7,769.92, 11,654.79 and 4,650.79

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Solution

The fourth proportional to 7,769.92, 11,654.79 and 4,650.79 is: 6,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.92 : 11,654.79 = 4,650.79 : x
  2. Step 2: Convert to fraction form
    7,769.92/11,654.79 = 4,650.79/x
  3. Step 3: Cross multiply
    7,769.92x = 11,654.79 × 4,650.79
  4. Step 4: Simplify right side
    7,769.92x = 54,204,004.79
  5. Step 5: Solve for x
    x = 54,204,004.79/7,769.92
  6. Step 6: Final answer
    x = 6,976.14

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1.5x scale

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.