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Finding the Fourth Proportional to 11,309.14, 15,608.49 and 7,769.44

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Solution

The fourth proportional to 11,309.14, 15,608.49 and 7,769.44 is: 10,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.14 : 15,608.49 = 7,769.44 : x
  2. Step 2: Convert to fraction form
    11,309.14/15,608.49 = 7,769.44/x
  3. Step 3: Cross multiply
    11,309.14x = 15,608.49 × 7,769.44
  4. Step 4: Simplify right side
    11,309.14x = 121,269,226.55
  5. Step 5: Solve for x
    x = 121,269,226.55/11,309.14
  6. Step 6: Final answer
    x = 10,723.12

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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.