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Finding the Fourth Proportional to 11,309.64, 15,609.18 and 7,769.94

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Solution

The fourth proportional to 11,309.64, 15,609.18 and 7,769.94 is: 10,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.64 : 15,609.18 = 7,769.94 : x
  2. Step 2: Convert to fraction form
    11,309.64/15,609.18 = 7,769.94/x
  3. Step 3: Cross multiply
    11,309.64x = 15,609.18 × 7,769.94
  4. Step 4: Simplify right side
    11,309.64x = 121,282,392.05
  5. Step 5: Solve for x
    x = 121,282,392.05/11,309.64
  6. Step 6: Final answer
    x = 10,723.81

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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.