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Finding the Fourth Proportional to 11,756, 17,638.44 and 6,209.12

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Solution

The fourth proportional to 11,756, 17,638.44 and 6,209.12 is: 9,316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756 : 17,638.44 = 6,209.12 : x
  2. Step 2: Convert to fraction form
    11,756/17,638.44 = 6,209.12/x
  3. Step 3: Cross multiply
    11,756x = 17,638.44 × 6,209.12
  4. Step 4: Simplify right side
    11,756x = 109,519,190.57
  5. Step 5: Solve for x
    x = 109,519,190.57/11,756
  6. Step 6: Final answer
    x = 9,316.03

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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.