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Finding the Fourth Proportional to 12,660, 18,988.02 and 4,338.09

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Solution

The fourth proportional to 12,660, 18,988.02 and 4,338.09 is: 6,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660 : 18,988.02 = 4,338.09 : x
  2. Step 2: Convert to fraction form
    12,660/18,988.02 = 4,338.09/x
  3. Step 3: Cross multiply
    12,660x = 18,988.02 × 4,338.09
  4. Step 4: Simplify right side
    12,660x = 82,371,739.68
  5. Step 5: Solve for x
    x = 82,371,739.68/12,660
  6. Step 6: Final answer
    x = 6,506.46

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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.