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Finding the Fourth Proportional to 7,546.72, 11,320 and 3,164

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Solution

The fourth proportional to 7,546.72, 11,320 and 3,164 is: 4,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.72 : 11,320 = 3,164 : x
  2. Step 2: Convert to fraction form
    7,546.72/11,320 = 3,164/x
  3. Step 3: Cross multiply
    7,546.72x = 11,320 × 3,164
  4. Step 4: Simplify right side
    7,546.72x = 35,816,480
  5. Step 5: Solve for x
    x = 35,816,480/7,546.72
  6. Step 6: Final answer
    x = 4,745.97

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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.