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Finding the Fourth Proportional to 13,754.84, 18,981.09 and 7,786.85

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Solution

The fourth proportional to 13,754.84, 18,981.09 and 7,786.85 is: 10,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.84 : 18,981.09 = 7,786.85 : x
  2. Step 2: Convert to fraction form
    13,754.84/18,981.09 = 7,786.85/x
  3. Step 3: Cross multiply
    13,754.84x = 18,981.09 × 7,786.85
  4. Step 4: Simplify right side
    13,754.84x = 147,802,805.76
  5. Step 5: Solve for x
    x = 147,802,805.76/13,754.84
  6. Step 6: Final answer
    x = 10,745.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.