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Finding the Fourth Proportional to 11,153.80, 16,728 and 3,756.34

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Solution

The fourth proportional to 11,153.80, 16,728 and 3,756.34 is: 5,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.80 : 16,728 = 3,756.34 : x
  2. Step 2: Convert to fraction form
    11,153.80/16,728 = 3,756.34/x
  3. Step 3: Cross multiply
    11,153.80x = 16,728 × 3,756.34
  4. Step 4: Simplify right side
    11,153.80x = 62,836,055.52
  5. Step 5: Solve for x
    x = 62,836,055.52/11,153.80
  6. Step 6: Final answer
    x = 5,633.60

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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.