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Finding the Fourth Proportional to 12,624, 18,935.22 and 3,858.12

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Solution

The fourth proportional to 12,624, 18,935.22 and 3,858.12 is: 5,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624 : 18,935.22 = 3,858.12 : x
  2. Step 2: Convert to fraction form
    12,624/18,935.22 = 3,858.12/x
  3. Step 3: Cross multiply
    12,624x = 18,935.22 × 3,858.12
  4. Step 4: Simplify right side
    12,624x = 73,054,350.99
  5. Step 5: Solve for x
    x = 73,054,350.99/12,624
  6. Step 6: Final answer
    x = 5,786.94

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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.