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Finding the Fourth Proportional to 11,409.92, 17,114.88 and 8,309.64

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Solution

The fourth proportional to 11,409.92, 17,114.88 and 8,309.64 is: 12,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.92 : 17,114.88 = 8,309.64 : x
  2. Step 2: Convert to fraction form
    11,409.92/17,114.88 = 8,309.64/x
  3. Step 3: Cross multiply
    11,409.92x = 17,114.88 × 8,309.64
  4. Step 4: Simplify right side
    11,409.92x = 142,218,491.44
  5. Step 5: Solve for x
    x = 142,218,491.44/11,409.92
  6. Step 6: Final answer
    x = 12,464.46

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Double scale
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Similar ratio
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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.