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Finding the Fourth Proportional to 11,209.40, 16,813.68 and 3,418

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Solution

The fourth proportional to 11,209.40, 16,813.68 and 3,418 is: 5,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.40 : 16,813.68 = 3,418 : x
  2. Step 2: Convert to fraction form
    11,209.40/16,813.68 = 3,418/x
  3. Step 3: Cross multiply
    11,209.40x = 16,813.68 × 3,418
  4. Step 4: Simplify right side
    11,209.40x = 57,469,158.24
  5. Step 5: Solve for x
    x = 57,469,158.24/11,209.40
  6. Step 6: Final answer
    x = 5,126.87

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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.