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Finding the Fourth Proportional to 11,205.39, 16,807.68 and 3,414

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Solution

The fourth proportional to 11,205.39, 16,807.68 and 3,414 is: 5,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.39 : 16,807.68 = 3,414 : x
  2. Step 2: Convert to fraction form
    11,205.39/16,807.68 = 3,414/x
  3. Step 3: Cross multiply
    11,205.39x = 16,807.68 × 3,414
  4. Step 4: Simplify right side
    11,205.39x = 57,381,419.52
  5. Step 5: Solve for x
    x = 57,381,419.52/11,205.39
  6. Step 6: Final answer
    x = 5,120.88

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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.