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Finding the Fourth Proportional to 9,150, 13,725 and 2,224.50

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Solution

The fourth proportional to 9,150, 13,725 and 2,224.50 is: 3,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150 : 13,725 = 2,224.50 : x
  2. Step 2: Convert to fraction form
    9,150/13,725 = 2,224.50/x
  3. Step 3: Cross multiply
    9,150x = 13,725 × 2,224.50
  4. Step 4: Simplify right side
    9,150x = 30,531,262.50
  5. Step 5: Solve for x
    x = 30,531,262.50/9,150
  6. Step 6: Final answer
    x = 3,336.75

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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.