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Finding the Fourth Proportional to 13,576.92, 18,736 and 7,608.64

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Solution

The fourth proportional to 13,576.92, 18,736 and 7,608.64 is: 10,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.92 : 18,736 = 7,608.64 : x
  2. Step 2: Convert to fraction form
    13,576.92/18,736 = 7,608.64/x
  3. Step 3: Cross multiply
    13,576.92x = 18,736 × 7,608.64
  4. Step 4: Simplify right side
    13,576.92x = 142,555,479.04
  5. Step 5: Solve for x
    x = 142,555,479.04/13,576.92
  6. Step 6: Final answer
    x = 10,499.84

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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.