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Finding the Fourth Proportional to 11,514, 17,270.20 and 3,722.64

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Solution

The fourth proportional to 11,514, 17,270.20 and 3,722.64 is: 5,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514 : 17,270.20 = 3,722.64 : x
  2. Step 2: Convert to fraction form
    11,514/17,270.20 = 3,722.64/x
  3. Step 3: Cross multiply
    11,514x = 17,270.20 × 3,722.64
  4. Step 4: Simplify right side
    11,514x = 64,290,737.33
  5. Step 5: Solve for x
    x = 64,290,737.33/11,514
  6. Step 6: Final answer
    x = 5,583.70

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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.