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Finding the Fourth Proportional to 11,211.80, 16,817.09 and 3,420

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Solution

The fourth proportional to 11,211.80, 16,817.09 and 3,420 is: 5,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.80 : 16,817.09 = 3,420 : x
  2. Step 2: Convert to fraction form
    11,211.80/16,817.09 = 3,420/x
  3. Step 3: Cross multiply
    11,211.80x = 16,817.09 × 3,420
  4. Step 4: Simplify right side
    11,211.80x = 57,514,430.70
  5. Step 5: Solve for x
    x = 57,514,430.70/11,211.80
  6. Step 6: Final answer
    x = 5,129.81

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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.