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Finding the Fourth Proportional to 9,201.20, 13,801.80 and 8,250.80

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Solution

The fourth proportional to 9,201.20, 13,801.80 and 8,250.80 is: 12,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.20 : 13,801.80 = 8,250.80 : x
  2. Step 2: Convert to fraction form
    9,201.20/13,801.80 = 8,250.80/x
  3. Step 3: Cross multiply
    9,201.20x = 13,801.80 × 8,250.80
  4. Step 4: Simplify right side
    9,201.20x = 113,875,891.44
  5. Step 5: Solve for x
    x = 113,875,891.44/9,201.20
  6. Step 6: Final answer
    x = 12,376.20

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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.