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Finding the Fourth Proportional to 11,330, 16,995.96 and 3,122

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Solution

The fourth proportional to 11,330, 16,995.96 and 3,122 is: 4,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330 : 16,995.96 = 3,122 : x
  2. Step 2: Convert to fraction form
    11,330/16,995.96 = 3,122/x
  3. Step 3: Cross multiply
    11,330x = 16,995.96 × 3,122
  4. Step 4: Simplify right side
    11,330x = 53,061,387.12
  5. Step 5: Solve for x
    x = 53,061,387.12/11,330
  6. Step 6: Final answer
    x = 4,683.26

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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.