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Finding the Fourth Proportional to 11,213.64, 16,820.52 and 3,422.52

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Solution

The fourth proportional to 11,213.64, 16,820.52 and 3,422.52 is: 5,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.64 : 16,820.52 = 3,422.52 : x
  2. Step 2: Convert to fraction form
    11,213.64/16,820.52 = 3,422.52/x
  3. Step 3: Cross multiply
    11,213.64x = 16,820.52 × 3,422.52
  4. Step 4: Simplify right side
    11,213.64x = 57,568,566.11
  5. Step 5: Solve for x
    x = 57,568,566.11/11,213.64
  6. Step 6: Final answer
    x = 5,133.80

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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.