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Finding the Fourth Proportional to 11,768.70, 17,647.38 and 6,839.76

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Solution

The fourth proportional to 11,768.70, 17,647.38 and 6,839.76 is: 10,256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.70 : 17,647.38 = 6,839.76 : x
  2. Step 2: Convert to fraction form
    11,768.70/17,647.38 = 6,839.76/x
  3. Step 3: Cross multiply
    11,768.70x = 17,647.38 × 6,839.76
  4. Step 4: Simplify right side
    11,768.70x = 120,703,843.83
  5. Step 5: Solve for x
    x = 120,703,843.83/11,768.70
  6. Step 6: Final answer
    x = 10,256.34

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1.5x scale

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.