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Finding the Fourth Proportional to 11,214, 16,820.94 and 3,422.70

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Solution

The fourth proportional to 11,214, 16,820.94 and 3,422.70 is: 5,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214 : 16,820.94 = 3,422.70 : x
  2. Step 2: Convert to fraction form
    11,214/16,820.94 = 3,422.70/x
  3. Step 3: Cross multiply
    11,214x = 16,820.94 × 3,422.70
  4. Step 4: Simplify right side
    11,214x = 57,573,031.34
  5. Step 5: Solve for x
    x = 57,573,031.34/11,214
  6. Step 6: Final answer
    x = 5,134.03

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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.