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Finding the Fourth Proportional to 11,185.66, 16,777.56 and 3,790

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Solution

The fourth proportional to 11,185.66, 16,777.56 and 3,790 is: 5,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.66 : 16,777.56 = 3,790 : x
  2. Step 2: Convert to fraction form
    11,185.66/16,777.56 = 3,790/x
  3. Step 3: Cross multiply
    11,185.66x = 16,777.56 × 3,790
  4. Step 4: Simplify right side
    11,185.66x = 63,586,952.40
  5. Step 5: Solve for x
    x = 63,586,952.40/11,185.66
  6. Step 6: Final answer
    x = 5,684.68

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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.