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Finding the Fourth Proportional to 11,187.66, 16,780.56 and 3,792

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Solution

The fourth proportional to 11,187.66, 16,780.56 and 3,792 is: 5,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.66 : 16,780.56 = 3,792 : x
  2. Step 2: Convert to fraction form
    11,187.66/16,780.56 = 3,792/x
  3. Step 3: Cross multiply
    11,187.66x = 16,780.56 × 3,792
  4. Step 4: Simplify right side
    11,187.66x = 63,631,883.52
  5. Step 5: Solve for x
    x = 63,631,883.52/11,187.66
  6. Step 6: Final answer
    x = 5,687.68

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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.