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Finding the Fourth Proportional to 9,149.53, 13,725.10 and 3,811.53

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Solution

The fourth proportional to 9,149.53, 13,725.10 and 3,811.53 is: 5,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.53 : 13,725.10 = 3,811.53 : x
  2. Step 2: Convert to fraction form
    9,149.53/13,725.10 = 3,811.53/x
  3. Step 3: Cross multiply
    9,149.53x = 13,725.10 × 3,811.53
  4. Step 4: Simplify right side
    9,149.53x = 52,313,630.40
  5. Step 5: Solve for x
    x = 52,313,630.40/9,149.53
  6. Step 6: Final answer
    x = 5,717.63

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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.