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Finding the Fourth Proportional to 9,786.70, 14,684.40 and 3,954.70

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Solution

The fourth proportional to 9,786.70, 14,684.40 and 3,954.70 is: 5,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.70 : 14,684.40 = 3,954.70 : x
  2. Step 2: Convert to fraction form
    9,786.70/14,684.40 = 3,954.70/x
  3. Step 3: Cross multiply
    9,786.70x = 14,684.40 × 3,954.70
  4. Step 4: Simplify right side
    9,786.70x = 58,072,396.68
  5. Step 5: Solve for x
    x = 58,072,396.68/9,786.70
  6. Step 6: Final answer
    x = 5,933.81

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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.