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Finding the Fourth Proportional to 11,868, 17,804.88 and 3,660

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Solution

The fourth proportional to 11,868, 17,804.88 and 3,660 is: 5,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868 : 17,804.88 = 3,660 : x
  2. Step 2: Convert to fraction form
    11,868/17,804.88 = 3,660/x
  3. Step 3: Cross multiply
    11,868x = 17,804.88 × 3,660
  4. Step 4: Simplify right side
    11,868x = 65,165,860.80
  5. Step 5: Solve for x
    x = 65,165,860.80/11,868
  6. Step 6: Final answer
    x = 5,490.89

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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.