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Finding the Fourth Proportional to 11,673.28, 17,509.92 and 7,749.64

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Solution

The fourth proportional to 11,673.28, 17,509.92 and 7,749.64 is: 11,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.28 : 17,509.92 = 7,749.64 : x
  2. Step 2: Convert to fraction form
    11,673.28/17,509.92 = 7,749.64/x
  3. Step 3: Cross multiply
    11,673.28x = 17,509.92 × 7,749.64
  4. Step 4: Simplify right side
    11,673.28x = 135,695,576.43
  5. Step 5: Solve for x
    x = 135,695,576.43/11,673.28
  6. Step 6: Final answer
    x = 11,624.46

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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.