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Finding the Fourth Proportional to 9,163.92, 13,721.24 and 7,540.08

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Solution

The fourth proportional to 9,163.92, 13,721.24 and 7,540.08 is: 11,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.92 : 13,721.24 = 7,540.08 : x
  2. Step 2: Convert to fraction form
    9,163.92/13,721.24 = 7,540.08/x
  3. Step 3: Cross multiply
    9,163.92x = 13,721.24 × 7,540.08
  4. Step 4: Simplify right side
    9,163.92x = 103,459,247.30
  5. Step 5: Solve for x
    x = 103,459,247.30/9,163.92
  6. Step 6: Final answer
    x = 11,289.85

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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.