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Finding the Fourth Proportional to 9,150.52, 13,725.78 and 2,225

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Solution

The fourth proportional to 9,150.52, 13,725.78 and 2,225 is: 3,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.52 : 13,725.78 = 2,225 : x
  2. Step 2: Convert to fraction form
    9,150.52/13,725.78 = 2,225/x
  3. Step 3: Cross multiply
    9,150.52x = 13,725.78 × 2,225
  4. Step 4: Simplify right side
    9,150.52x = 30,539,860.50
  5. Step 5: Solve for x
    x = 30,539,860.50/9,150.52
  6. Step 6: Final answer
    x = 3,337.50

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1.5x scale

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.