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Finding the Fourth Proportional to 7,679.81, 11,522.42 and 3,786.95

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Solution

The fourth proportional to 7,679.81, 11,522.42 and 3,786.95 is: 5,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.81 : 11,522.42 = 3,786.95 : x
  2. Step 2: Convert to fraction form
    7,679.81/11,522.42 = 3,786.95/x
  3. Step 3: Cross multiply
    7,679.81x = 11,522.42 × 3,786.95
  4. Step 4: Simplify right side
    7,679.81x = 43,634,852.49
  5. Step 5: Solve for x
    x = 43,634,852.49/7,679.81
  6. Step 6: Final answer
    x = 5,681.76

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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.